A164134 Primes p such that 12*p is the sum of two consecutive primes.
2, 3, 5, 7, 17, 23, 31, 41, 47, 71, 97, 103, 107, 137, 139, 193, 283, 313, 337, 347, 349, 373, 397, 421, 443, 467, 487, 491, 577, 587, 593, 619, 631, 643, 653, 673, 691, 701, 773, 787, 811, 827, 907, 991, 1021, 1033, 1051, 1093, 1117, 1217, 1249, 1259, 1289
Offset: 1
Keywords
Examples
p=17 is there because it is prime and 12*17=101+103 = A001043(26) .
Links
- Paolo Xausa, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
Select[ListConvolve[{1,1},Prime[Range[2000]]]/12,PrimeQ] (* Paolo Xausa, Nov 03 2023 *)
Extensions
233 replaced by 283 and extended by R. J. Mathar, Aug 21 2009