A number theory problem by sudoku subbu

Number Theory Level 1

THE NUMBER OF PRIMES P SUCH THAT P + 1 IS A PRIME NUMBER


The answer is 1.

Sudoku Subbu by sudoku subbu , 19, India

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2 solutions

Vishal S
Dec 20, 2014

We know that all primes except 2 is odd.Since 1 is odd; P must be an even prime number i.e 2.

therefore there is one possibility

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A prime number, having divisors 1 and itself

U Z - 6 years, 5 months ago

only possible when p = 2

Nihar Mahajan - 6 years, 5 months ago

ha ha absolutely

sudoku subbu - 6 years, 4 months ago

I don't think 1 is prime right?

Elmer Fei - 6 years, 5 months ago
Elmer Fei
Dec 22, 2014

2 and 3 are the only prime numbers that are next to each other. Since the expansion of numbers increase as place values increase. Therefore there is only one possible answer

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