A275475 Primes p such that p+2^3, p+2^5 and p+2^7 are all primes.

11, 29, 71, 149, 491, 599, 701, 1439, 1451, 2339, 3761, 4211, 5399, 5651, 6269, 6701, 7541, 9059, 9311, 9689, 9941, 10859, 11831, 12569, 12791, 13679, 15299, 15551, 16979, 18089, 19301, 19469, 22031, 22541, 23549, 23879, 25229, 25841, 27329, 27791, 28541, 30809

Offset

1,1

Links

Dana Jacobsen, Table of n, a(n) for n = 1..10000

Example

11 is in the sequence because 11+8 = 19, 11+32 = 43 and 11+128 = 139 are all primes.
29 is in the sequence because 29+8 = 37, 29+32 = 61 and 29+128 = 157 are all primes.

Mathematica

Select[Prime@ Range@ 3450, Function[k, Times @@ Boole@ PrimeQ@ Map[k + 2^# &, {3, 5, 7}] == 1]] (* Michael De Vlieger, Aug 10 2016 *)
Select[Prime[Range[4000]], AllTrue[#+{8, 32, 128}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Apr 26 2018 *)

Prog

(Perl) use ntheory ":all"; say for sieve_prime_cluster(2, 1e6, 2**3, 2**5, 2**7); # Dana Jacobsen, Sep 29 2016

Crossrefs

Cf. A269257, A269258, A269259, A269859, A270203.

Cf. A275485 (a subsequence).

Sequence in context: A106881 A239734 A106880 * A135064 A179502 A053703

Adjacent sequences: A275472 A275473 A275474 * A275476 A275477 A275478

Keyword

nonn

Author

Debapriyay Mukhopadhyay, Jul 29 2016

Status

approved