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A356498 Primes p such that 100*p + 11 is also prime.

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%I A356498 #17 Sep 11 2022 16:50:44
%S A356498 2,3,23,41,83,101,107,113,137,179,233,239,251,281,293,353,359,401,419,
%T A356498 479,503,557,563,569,587,683,701,743,809,839,857,863,941,953,977,1049,
%U A356498 1091,1103,1193,1217,1277,1283,1361,1367,1427,1487,1499,1523,1607,1619,1847,1871,1877,1889,1907,1949,1973
%N A356498 Primes p such that 100*p + 11 is also prime.
%C A356498 100*p + 11 has the effect of appending 11 to p.
%C A356498 Primes of the form 3*k + 1 are never in this sequence, as 100*(3*k + 1) + 11 can be simplified to 3*(100*k + 37).
%e A356498 2 is a term, as 100*2 + 11 is 211, which are both prime.
%e A356498 101 is a term, as 100*101 + 11 is 10111 which are both prime.
%o A356498 (Python)
%o A356498 from sympy import isprime
%o A356498 print([k for k in range(2000) if isprime(100*k+11) and isprime(k)])
%Y A356498 Cf. A000040, A002476 (primes of the form 3*k+1).
%Y A356498 Similar to A023237.
%K A356498 nonn
%O A356498 1,1
%A A356498 _Daniel Blam_, Aug 09 2022