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A363638 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 06:36:40

%S 11,17,23,31,41,47,53,59,71,79,83,89,107,113,127,131,151,167,179,191,

%T 223,227,239,251,263,269,271,293,311,359,383,419,431,439,443,449,479,

%U 491,503,521,557,587,593,599,607,631,647,659,683,701,719,727,743,773

%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 11 is a term because 11 is prime, 11+1 = 3*4 = (2+1)*(3+1), and 2 and 3 are prime.

%e 223 is a term because 223 is prime, 223+1 = 4*4*14 = (3+1)^2*(13+1), and 3 and 13 are prime. (This is the first term that requires more than two factors, i.e., it is not a term of A066938.)

%Y Cf. A008864, A066938 (subsequence), A363636, A363750.

%K nonn

%O 1,1

%A _Pontus von Brömssen_, Jun 19 2023

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Last modified September 16 07:48 EDT 2024. Contains 375959 sequences. (Running on oeis4.)