A248606 Primes p such that (2*p)^3 - 3 is also prime.
2, 5, 7, 13, 17, 19, 37, 53, 79, 89, 103, 137, 193, 223, 229, 313, 317, 337, 359, 383, 389, 409, 419, 509, 557, 563, 569, 587, 599, 613, 653, 677, 733, 787, 827, 853, 883, 929, 1013, 1069, 1093, 1123, 1163, 1237, 1249, 1277, 1279, 1303, 1373, 1493
Offset: 1
Keywords
Examples
2 is in this sequence because (2*2)^3 - 3 = 61 where 2 and 61 are both prime.
Links
- Harvey P. Dale, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(1500) | IsPrime((2*p)^3 - 3)];
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Mathematica
Select[Prime[Range[250]],PrimeQ[(2#)^3-3]&] (* Harvey P. Dale, May 19 2023 *)