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A057736 Primes p such that 2^p + 3 is prime. 4

%I #19 Jun 06 2022 12:24:34

%S 2,3,7,67

%N Primes p such that 2^p + 3 is prime.

%C The next term p is greater than 100000, corresponding to a prime 2^p + 3 with more than 30000 digits. - _Ryan Propper_, Aug 24 2005

%C Next term > 2205444. - _Joerg Arndt_, Mar 07 2021

%D J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 67, p. 24, Ellipses, Paris 2008.

%t Select[Prime[Range[20]],PrimeQ[2^#+3]&] (* _Harvey P. Dale_, Jun 06 2022 *)

%o (Python)

%o from sympy import isprime, primerange

%o def afind(limit):

%o for p in primerange(2, limit+1):

%o if isprime(2**p + 3): print(p, end=", ")

%o afind(1000) # _Michael S. Branicky_, Mar 07 2021

%Y Cf. A057737 (the corresponding primes).

%Y Subsequence of A057732.

%K more,nonn

%O 1,1

%A _G. L. Honaker, Jr._, Oct 29 2000

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)