A Formula for PRIMES

Hello Everyone. I here want to get your attention please. I wanted to prove 'Fermat's Last Theorem' but I got myself into a algebric expression: 3a^2+3a+1 but it actually does not always forms out a prime and if does,it does not maintain the serial of primes.It could have been a mistake but I've seen it to form out a massive prime number like 30301.I want to know one thing,did any mathematician invented any formula like this one?If did then I want to know more about these.And yeah if we get composit numbers,then we can classify them into many class!Now If I get the Highlight I will be glad to discuss more about this.THANK YOU

#NumberTheory

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

The formula $n^2-n+41$ generates primes for $0 \leq n \leq 41$ .

It has also been proven by Ben Green and Terence Tao that there are arbitrarily long arithmetic sequences of primes. The longest known consists of 26 primes spaced out by 5,283,234,035,979,900: 43142746595714191, 48425980631694091, 53709214667673991, 58992448703653891, 64275682739633791, 69558916775613691, 74842150811593591, 80125384847573491, 85408618883553391, 90691852919533291, 95975086955513191, 101258320991493091, 106541555027472991, 111824789063452891, 117108023099432791, 122391257135412691, 127674491171392591, 132957725207372491, 138240959243352391, 143524193279332291, 148807427315312191, 154090661351292091, 159373895387271991, 164657129423251891, 169940363459231791, 175223597495211691

Henry U - 2 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$