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A363750 Primes p such that p-1 can be written as a product of smaller numbers that are also of the form prime-1. 2

%I #6 Jul 15 2023 06:36:51

%S 2,5,13,17,37,41,61,73,89,97,101,109,113,157,181,193,233,241,257,277,

%T 281,313,337,349,353,397,401,409,421,433,449,457,461,521,541,577,593,

%U 601,613,617,641,661,673,701,733,757,761,769,821,829,877,881,929,937

%N Primes p such that p-1 can be written as a product of smaller numbers that are also of the form prime-1.

%e 2 is a term because 2 is prime and 2-1 = 1 equals the empty product.

%e 5 is a term because 5 is prime, 5-1 = 2*2 = (3-1)*(3-1), and 3 is prime.

%e 3329 is a term because 3329 is prime, 3329-1 = 4*16*52 = (5-1)*(17-1)*(53-1), and 5, 17, and 53 are prime. (This is the first term that requires more than two factors.)

%Y Cf. A006093, A363636, A363638.

%K nonn

%O 1,1

%A _Pontus von Brömssen_, Jun 19 2023

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Last modified July 15 00:37 EDT 2024. Contains 374323 sequences. (Running on oeis4.)