Today's Primes

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N = []
for i in range(20183, 10**10):
    if "2018" in str(i):
        if isPrime(i):
            N.append(i)
        if len(N) == 2018:
            break
print (N)

82018019

Following is the list of first 2018 such primes;

[20183, 120181, 201809, 201821, 201823, 201827, 201829, 201833, 201847, 201881, 201889, 201893, 220189, 620183, 820187, 1120187, 1201813, 1201829, 1201841, 1201843, 1201853, 1201873, 1320181, 1720181, 1720183, 1720189, 1920187, 2018021, 2018041, 2018077, 2018111, 2018113, 2018117, 2018153, 2018167, 2018171, 2018173, 2018183, 2018249, 2018251, 2018281, 2018287, 2018299, 2018309, 2018333, 2018369, 2018381, 2018383, 2018407, 2018413, 2018437, 2018447, 2018453, 2018483, 2018507, 2018531, 2018543, 2018561, 2018573, 2018581, 2018591, 2018593, 2018623, 2018629, 2018633, 2018647, 2018651, 2018663, 2018671, 2018677, 2018713, 2018729, 2018741, 2018747, 2018749, 2018761, 2018773, 2018827, 2018837, 2018843, 2018851, 2018873, 2018897, 2018899, 2018927, 2018953, 2018957, 2018981, 2018987, 2018993, 2020181, 2201807, 2201827, 2201839, 2201897, 2220187, 2320183, 2620181, 2720183, 2720189, 2920187, 3020189, 3201817, 3201833, 3201839, 3201851, 3201857, 3201893, 3320189, 3420187, 3520183, 3820181, 4120183, 4120187, 4120189, 4201811, 4201817, 4201837, 4201843, 4201849, 4201853, 4201861, 4201889, 4201891, 4220189, 4320187, 4420183, 4420189, 4520183, 4720187, 4820183, 5020189, 5120183, 5120189, 5201827, 5201837, 5201849, 5201851, 5201857, 5201863, 5201873, 5320187, 5720189, 5820187, 6201817, 6201823, 6201851, 6201863, 6201869, 6201883, 6201887, 6201893, 6220187, 6320189, 6520183, 6620183, 6820181, 6920189, 7020187, 7120181, 7120187, 7120189, 7201801, 7201811, 7201813, 7201823, 7201847, 7201861, 7201867, 7201871, 7420181, 7420187, 7520189, 7720183, 7720187, 7720189, 8020183, 8201801, 8201807, 8201813, 8201819, 8201821, 8201839, 8201857, 8201861, 8201873, 8201881, 8201891, 8420183, 8520181, 8620187, 8620189, 8720189, 8820181, 8820187, 8920181, 9201821, 9201827, 9201877, 9201883, 9220181, 9620183, 9820189, 10020187, 10120183, 10201813, 10201817, 10201831, 10201837, 10201843, 10201859, 10201861, 10201871, 10201897, 10420181, 10420183, 10520189, 10720181, 10720187, 10720189, 10920181, 11020181, 11120183, 11201831, 11201837, 11201843, 11201863, 11201893, 11320189, 11620181, 11820181, 11820187, 12018001, 12018011, 12018023, 12018047, 12018053, 12018059, 12018101, 12018103, 12018107, 12018163, 12018169, 12018187, 12018211, 12018217, 12018247, 12018263, 12018271, 12018299, 12018301, 12018319, 12018329, 12018353, 12018401, 12018437, 12018481, 12018491, 12018493, 12018497, 12018509, 12018521, 12018529, 12018533, 12018547, 12018551, 12018553, 12018569, 12018577, 12018613, 12018623, 12018631, 12018637, 12018641, 12018653, 12018679, 12018683, 12018703, 12018733, 12018737, 12018739, 12018749, 12018817, 12018833, 12018841, 12018869, 12018871, 12018901, 12018907, 12018931, 12018953, 12018977, 12018997, 12120181, 12201803, 12201821, 12201829, 12201859, 12201881, 12220183, 12720181, 12720187, 12920183, 13120181, 13120183, 13120187, 13201801, 13201841, 13201849, 13201861, 13201879, 13201883, 13201889, 13201891, 13220183, 13420181, 13520183, 13820189, 13920187, 14020187, 14201807, 14201809, 14201839, 14201843, 14201897, 14201899, 14320181, 14320183, 14620181, 14720183, 14820187, 15020189, 15120187, 15201847, 15201863, 15201883, 15220187, 15320189, 15520189, 15820187, 15920183, 15920189, 16120183, 16201831, 16201837, 16201879, 16201883, 16201891, 16201897, 16220189, 16320181, 16420189, 16520183, 16720183, 16820183, 16820189, 16920181, 17020189, 17120189, 17201801, 17201803, 17201813, 17201827, 17201851, 17201881, 17201887, 17220187, 17320189, 17620181, 17920181, 18020183, 18201839, 18201881, 18320189, 18520181, 18520189, 19201811, 19201813, 19201841, 19201859, 19201873, 19420189, 19720189, 19920181, 20120189, 20180009, 20180051, 20180053, 20180057, 20180063, 20180087, 20180123, 20180141, 20180161, 20180179, 20180189, 20180191, 20180197, 20180213, 20180221, 20180231, 20180239, 20180257, 20180263, 20180291, 20180311, 20180327, 20180341, 20180353, 20180357, 20180359, 20180387, 20180389, 20180393, 20180399, 20180441, 20180449, 20180477, 20180509, 20180533, 20180539, 20180551, 20180561, 20180593, 20180599, 20180609, 20180621, 20180627, 20180707, 20180731, 20180737, 20180747, 20180759, 20180761, 20180767, 20180801, 20180807, 20180833, 20180843, 20180851, 20180857, 20180861, 20180879, 20180933, 20180971, 20180977, 20180987, 20181019, 20181043, 20181047, 20181053, 20181079, 20181121, 20181131, 20181149, 20181151, 20181157, 20181191, 20181209, 20181223, 20181229, 20181247, 20181311, 20181313, 20181323, 20181347, 20181349, 20181353, 20181437, 20181451, 20181457, 20181463, 20181479, 20181487, 20181503, 20181521, 20181523, 20181559, 20181563, 20181571, 20181583, 20181619, 20181631, 20181643, 20181671, 20181731, 20181739, 20181757, 20181769, 20181773, 20181779, 20181793, 20181797, 20181803, 20181809, 20181823, 20181851, 20181859, 20181937, 20181947, 20181949, 20181979, 20181989, 20182013, 20182021, 20182027, 20182039, 20182049, 20182067, 20182073, 20182079, 20182081, 20182087, 20182121, 20182163, 20182219, 20182249, 20182259, 20182273, 20182297, 20182301, 20182303, 20182387, 20182391, 20182403, 20182423, 20182469, 20182471, 20182483, 20182489, 20182493, 20182517, 20182567, 20182571, 20182577, 20182601, 20182627, 20182639, 20182651, 20182663, 20182667, 20182681, 20182697, 20182709, 20182717, 20182727, 20182739, 20182751, 20182759, 20182763, 20182793, 20182819, 20182831, 20182837, 20182843, 20182849, 20182853, 20182889, 20182901, 20182907, 20182909, 20182913, 20182933, 20182949, 20182963, 20182973, 20182979, 20182993, 20183003, 20183011, 20183021, 20183047, 20183057, 20183123, 20183143, 20183171, 20183183, 20183197, 20183209, 20183227, 20183237, 20183239, 20183243, 20183249, 20183279, 20183287, 20183309, 20183321, 20183327, 20183329, 20183341, 20183347, 20183353, 20183363, 20183393, 20183417, 20183431, 20183441, 20183447, 20183459, 20183461, 20183467, 20183477, 20183479, 20183483, 20183519, 20183531, 20183557, 20183561, 20183593, 20183599, 20183609, 20183617, 20183621, 20183651, 20183659, 20183671, 20183677, 20183693, 20183699, 20183711, 20183749, 20183771, 20183783, 20183819, 20183827, 20183837, 20183851, 20183869, 20183873, 20183929, 20183957, 20184011, 20184053, 20184067, 20184079, 20184089, 20184097, 20184163, 20184167, 20184181, 20184223, 20184233, 20184239, 20184247, 20184257, 20184299, 20184337, 20184343, 20184397, 20184419, 20184433, 20184443, 20184481, 20184509, 20184529, 20184533, 20184553, 20184599, 20184617, 20184641, 20184649, 20184677, 20184683, 20184691, 20184701, 20184709, 20184727, 20184733, 20184767, 20184793, 20184799, 20184809, 20184811, 20184863, 20184877, 20184907, 20184911, 20184919, 20184929, 20184959, 20184977, 20185003, 20185031, 20185051, 20185093, 20185097, 20185117, 20185129, 20185133, 20185147, 20185159, 20185177, 20185181, 20185183, 20185199, 20185213, 20185241, 20185259, 20185261, 20185271, 20185331, 20185339, 20185357, 20185379, 20185381, 20185393, 20185463, 20185469, 20185471, 20185483, 20185499, 20185519, 20185523, 20185549, 20185553, 20185567, 20185573, 20185577, 20185589, 20185591, 20185597, 20185621, 20185637, 20185643, 20185661, 20185667, 20185673, 20185691, 20185709, 20185723, 20185727, 20185747, 20185751, 20185777, 20185799, 20185801, 20185859, 20185861, 20185873, 20185883, 20185967, 20185969, 20185993, 20186011, 20186017, 20186041, 20186069, 20186071, 20186093, 20186137, 20186141, 20186143, 20186161, 20186167, 20186213, 20186251, 20186261, 20186273, 20186281, 20186297, 20186311, 20186329, 20186339, 20186351, 20186381, 20186399, 20186447, 20186461, 20186501, 20186503, 20186527, 20186561, 20186597, 20186653, 20186687, 20186689, 20186711, 20186717, 20186723, 20186783, 20186809, 20186819, 20186827, 20186839, 20186843, 20186857, 20186879, 20186897, 20186917, 20186927, 20186951, 20186953, 20186993, 20187023, 20187043, 20187059, 20187071, 20187113, 20187119, 20187121, 20187131, 20187137, 20187151, 20187191, 20187203, 20187227, 20187229, 20187259, 20187269, 20187281, 20187283, 20187287, 20187289, 20187317, 20187319, 20187331, 20187373, 20187383, 20187397, 20187403, 20187413, 20187421, 20187467, 20187527, 20187529, 20187571, 20187593, 20187599, 20187637, 20187641, 20187659, 20187667, 20187689, 20187697, 20187701, 20187707, 20187719, 20187757, 20187773, 20187787, 20187803, 20187809, 20187821, 20187833, 20187887, 20187907, 20187911, 20187917, 20187961, 20187983, 20187989, 20188001, 20188009, 20188019, 20188033, 20188057, 20188067, 20188073, 20188081, 20188109, 20188111, 20188141, 20188151, 20188169, 20188219, 20188243, 20188249, 20188261, 20188291, 20188297, 20188307, 20188327, 20188331, 20188361, 20188381, 20188397, 20188403, 20188451, 20188459, 20188477, 20188481, 20188489, 20188501, 20188547, 20188577, 20188589, 20188607, 20188613, 20188631, 20188633, 20188667, 20188703, 20188723, 20188739, 20188747, 20188759, 20188771, 20188793, 20188799, 20188823, 20188829, 20188841, 20188853, 20188879, 20188907, 20188943, 20188957, 20188981, 20188997, 20189011, 20189021, 20189023, 20189069, 20189107, 20189111, 20189119, 20189123, 20189137, 20189167, 20189173, 20189189, 20189207, 20189227, 20189233, 20189291, 20189303, 20189321, 20189329, 20189341, 20189357, 20189359, 20189363, 20189399, 20189431, 20189437, 20189453, 20189459, 20189471, 20189479, 20189497, 20189513, 20189549, 20189567, 20189573, 20189581, 20189593, 20189599, 20189621, 20189627, 20189629, 20189633, 20189639, 20189641, 20189651, 20189681, 20189707, 20189717, 20189731, 20189737, 20189759, 20189777, 20189779, 20189789, 20189797, 20189821, 20189831, 20189843, 20189849, 20189857, 20189867, 20189879, 20189881, 20189891, 20189899, 20189903, 20189909, 20189927, 20189941, 20189969, 20189971, 20201803, 20201809, 20201813, 20201821, 20201827, 20201849, 20201891, 20201897, 20320187, 20320189, 20620183, 20920181, 20920187, 20920189, 21201811, 21201889, 21201893, 21320183, 21520189, 21620189, 21820181, 22018037, 22018039, 22018049, 22018063, 22018069, 22018103, 22018123, 22018141, 22018147, 22018181, 22018201, 22018211, 22018223, 22018237, 22018259, 22018261, 22018301, 22018309, 22018343, 22018357, 22018361, 22018363, 22018369, 22018379, 22018393, 22018421, 22018433, 22018471, 22018481, 22018487, 22018501, 22018523, 22018531, 22018543, 22018561, 22018597, 22018609, 22018631, 22018637, 22018639, 22018673, 22018687, 22018693, 22018699, 22018727, 22018729, 22018793, 22018817, 22018819, 22018847, 22018849, 22018877, 22018883, 22018907, 22018937, 22018939, 22018943, 22018951, 22018963, 22018973, 22018993, 22020181, 22120183, 22120187, 22201801, 22201807, 22201819, 22201867, 22201891, 22320187, 22420183, 22720189, 22820183, 22920181, 23020181, 23020183, 23020187, 23120183, 23120189, 23201839, 23201851, 23201873, 23201887, 23201891, 23220187, 23320181, 23520187, 23620183, 23920187, 24201817, 24201823, 24201833, 24201869, 24201883, 24201889, 24201899, 24220187, 24820189, 24920183, 25020181, 25120189, 25201807, 25201811, 25201829, 25201867, 25201873, 25201879, 25201889, 25220183, 25320187, 25420189, 25720181, 25720183, 25920187, 26201801, 26201803, 26201827, 26201843, 26201849, 26201863, 26201869, 26620183, 26720189, 26820181, 26920181, 27201803, 27201817, 27201829, 27201857, 27201877, 27420181, 28120187, 28201813, 28201819, 28201837, 28201853, 28201867, 28201879, 28201889, 28720183, 28720187, 28720189, 29120183, 29201819, 29201897, 29220181, 29620187, 29920183, 30020189, 30201803, 30201817, 30201827, 30201833, 30201851, 30201863, 30201889, 30320183, 30520181, 30620189, 30720181, 30820183, 30820187, 31120181, 31201811, 31201813, 31201847, 31201853, 31201867, 31420183, 31420189, 31720187, 31820183, 32018011, 32018023, 32018057, 32018081, 32018087, 32018131, 32018141, 32018143, 32018149, 32018167, 32018177, 32018243, 32018251, 32018279, 32018281, 32018303, 32018309, 32018333, 32018341, 32018353, 32018387, 32018419, 32018449, 32018471, 32018479, 32018489, 32018491, 32018501, 32018513, 32018527, 32018557, 32018561, 32018587, 32018593, 32018611, 32018659, 32018687, 32018699, 32018713, 32018741, 32018761, 32018771, 32018773, 32018807, 32018809, 32018821, 32018843, 32018849, 32018869, 32018873, 32018881, 32018897, 32018947, 32018953, 32018957, 32018969, 32018981, 32018989, 32018999, 32020189, 32201801, 32201821, 32201849, 32201867, 32201887, 32220187, 32420183, 32420189, 32620183, 32820181, 32920183, 32920189, 33020189, 33201803, 33201809, 33201821, 33201823, 33201827, 33201829, 33201851, 33201853, 33201869, 33201871, 33201893, 33220181, 33520181, 33620183, 33620189, 33820181, 33820187, 34120189, 34201819, 34201829, 34201847, 34201861, 34201883, 34201889, 34220189, 34420181, 34720181, 34720183, 34820189, 35201801, 35201807, 35201839, 35201857, 35201861, 35201879, 35201897, 35220187, 35520181, 35720183, 35720189, 36201827, 36201833, 36201863, 36201871, 36201883, 36320183, 36420187, 36520181, 36620189, 36820187, 36920183, 37120189, 37201807, 37201819, 37201823, 37201841, 37201847, 37201859, 37201861, 37201877, 37201897, 37420189, 37720183, 38120183, 38201809, 38201819, 38201833, 38201843, 38201857, 38201869, 38201881, 38201897, 38201899, 38320189, 38420183, 38520187, 38620181, 38620187, 38620189, 38720189, 38820181, 39020183, 39201809, 39201817, 39201829, 39201859, 39201893, 39220183, 39920189, 40020181, 40020187, 40201813, 40201817, 40201829, 40201849, 40201877, 40201879, 40220183, 40620187, 40720181, 40720187, 40820183, 40920181, 41201801, 41201803, 41201819, 41201827, 41201879, 41220181, 41320187, 41320189, 41920183, 42018001, 42018017, 42018019, 42018043, 42018049, 42018073, 42018103, 42018127, 42018131, 42018157, 42018161, 42018173, 42018209, 42018233, 42018257, 42018371, 42018433, 42018461, 42018479, 42018503, 42018511, 42018527, 42018533, 42018551, 42018583, 42018601, 42018617, 42018623, 42018659, 42018673, 42018719, 42018731, 42018763, 42018803, 42018811, 42018817, 42018863, 42018881, 42018887, 42018913, 42018923, 42018959, 42018967, 42018971, 42018979, 42201821, 42201829, 42201839, 42201851, 42201853, 42201889, 42420181, 42520183, 42520187, 42820189, 43201819, 43201859, 43220183, 43320181, 43720181, 43720189, 44020187, 44020189, 44120189, 44201803, 44201821, 44201827, 44201863, 44201867, 44201869, 44201873, 44201879, 44201891, 44320181, 44320183, 44320187, 44920189, 45020189, 45201809, 45201833, 45201841, 45201851, 45201853, 45201857, 45201887, 45201889, 45201899, 45320183, 45420187, 45820183, 46120181, 46120183, 46201817, 46201829, 46201853, 46201877, 46201889, 46201891, 46220189, 46420181, 46520183, 47120189, 47201807, 47201813, 47201857, 47201863, 47201881, 47201887, 47201897, 47220181, 47320181, 47420189, 47820181, 47920183, 48020183, 48201809, 48201823, 48201833, 48201847, 48201863, 48201883, 48201889, 48201893, 48201899, 48220181, 48220187, 48320189, 48420181, 48420187, 48520181, 48520183, 48520187, 48520189, 49201843, 49201877, 49201883, 49201891, 49520183, 49620187, 49720183, 49920187, 50201821, 50201839, 50201843, 50201863, 50201873, 50320183, 50420189, 50520181, 50620189, 50720183, 51201803, 51201809, 51201833, 51201851, 51201859, 51201877, 51201889, 51320183, 51320189, 51520181, 51920189, 52018007, 52018033, 52018039, 52018061, 52018073, 52018123, 52018139, 52018151, 52018229, 52018243, 52018259, 52018271, 52018289, 52018297, 52018301, 52018303, 52018313, 52018319, 52018321, 52018349, 52018357, 52018361, 52018457, 52018459, 52018469, 52018501, 52018511, 52018517, 52018529, 52018531, 52018573, 52018579, 52018591, 52018601, 52018607, 52018619, 52018667, 52018669, 52018693, 52018697, 52018727, 52018739, 52018807, 52018817, 52018823, 52018831, 52018843, 52018849, 52018859, 52018877, 52018919, 52018933, 52018969, 52018991, 52018999, 52120183, 52201801, 52201817, 52201823, 52201837, 52201841, 52320181, 52420187, 52420189, 52620187, 53020189, 53201803, 53201809, 53201831, 53201861, 53420183, 53420189, 53620187, 53920187, 54120181, 54201803, 54201817, 54201839, 54201859, 54201871, 54220181, 54220183, 54220189, 54420181, 54420187, 54520181, 54520183, 55120189, 55201807, 55201813, 55201831, 55201849, 55201879, 55220183, 55420181, 55520189, 55620181, 55720183, 55920181, 56201843, 56201851, 56201861, 56201863, 56201869, 56201879, 56201891, 56320181, 56420183, 56720189, 56920183, 56920189, 57201803, 57201811, 57201817, 57201827, 57201839, 57201841, 57201863, 57201869, 57201871, 57201883, 57201887, 57201899, 57220187, 57520189, 58201831, 58201861, 58201867, 58420183, 58420189, 58620181, 58720183, 58720187, 58820183, 59201833, 59201867, 59201869, 59201873, 59201881, 59201893, 59201897, 59620181, 59620189, 59920183, 60120187, 60201803, 60201829, 60201839, 60201853, 60201857, 60201881, 60220183, 60220189, 60320189, 60420187, 60820183, 60820187, 61120181, 61201801, 61201837, 61201841, 61220183, 61420181, 61420187, 61520183, 61520189, 61720187, 61820183, 61820189, 62018039, 62018063, 62018069, 62018093, 62018107, 62018111, 62018113, 62018123, 62018167, 62018183, 62018191, 62018207, 62018233, 62018249, 62018323, 62018351, 62018353, 62018389, 62018471, 62018497, 62018503, 62018531, 62018543, 62018573, 62018587, 62018629, 62018681, 62018689, 62018731, 62018743, 62018767, 62018777, 62018779, 62018797, 62018821, 62018843, 62018861, 62018863, 62018893, 62018903, 62018911, 62018917, 62018927, 62018933, 62018939, 62018959, 62018977, 62020187, 62201809, 62201819, 62201869, 62201873, 62201899, 62220181, 62620183, 62820181, 62920181, 62920183, 62920189, 63020183, 63020189, 63120181, 63201823, 63201829, 63201841, 63201851, 63201871, 63201881, 63201889, 63201893, 63320183, 63520189, 63720187, 63820181, 63920183, 64201801, 64201831, 64201847, 64201849, 64201861, 64201873, 64201889, 64201897, 64220183, 64320181, 64520189, 64620181, 64620187, 64920187, 65020181, 65201813, 65201833, 65201837, 65201869, 65201893, 65420183, 65420189, 65520181, 65620189, 66020183, 66120181, 66201851, 66201853, 66201857, 66201869, 66201881, 66201887, 66201899, 66220181, 66320183, 66420187, 66620189, 66720187, 66820181, 66820189, 67201807, 67201811, 67201817, 67201843, 67201847, 67201873, 67201877, 67201889, 67220189, 67320181, 67920187, 68020181, 68120189, 68201801, 68201803, 68201839, 68201851, 68201873, 68201893, 68520187, 68820187, 68920183, 69120187, 69201823, 69201833, 69201841, 69620183, 69820183, 70201841, 70201853, 70201877, 70201897, 70420187, 70620181, 71020181, 71020189, 71201807, 71201827, 71201833, 71201839, 71201857, 71420189, 71520181, 71620181, 71620187, 71720189, 72018007, 72018019, 72018029, 72018041, 72018097, 72018119, 72018157, 72018161, 72018197, 72018229, 72018251, 72018257, 72018259, 72018283, 72018311, 72018319, 72018377, 72018413, 72018433, 72018437, 72018449, 72018469, 72018473, 72018481, 72018503, 72018547, 72018553, 72018559, 72018599, 72018601, 72018619, 72018623, 72018641, 72018643, 72018671, 72018767, 72018781, 72018787, 72018799, 72018827, 72018833, 72018841, 72018847, 72018871, 72018887, 72018893, 72018901, 72018907, 72018923, 72018931, 72201803, 72201809, 72201841, 72201863, 72201869, 72201889, 72520187, 72620189, 73120181, 73120183, 73201811, 73201837, 73201853, 73201897, 73420181, 73420189, 73620181, 73720187, 73920181, 74020183, 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Just broke it down and did multiple segmented sieves, took a while....