A158342 List of twin primes p1 and p2 with odd sum of digits of p1 and even sum of digits of p2.

29, 31, 179, 181, 269, 271, 809, 811, 1019, 1021, 1619, 1621, 1949, 1951, 2339, 2341, 2999, 3001, 3329, 3331, 3389, 3391, 3929, 3931, 4049, 4051, 4229, 4231, 4649, 4651, 5279, 5281, 5639, 5641, 5879, 5881, 6089, 6091, 6269, 6271, 6359, 6361, 6449, 6451

Offset: 1

Author

Juri-Stepan Gerasimov, Mar 16 2009

Keywords

• nonn
• base
• less

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..3000

Crossrefs

Cf. A077800.

Programs

Mathematica

Select[Partition[Prime[Range[1000]],2,1],#[[2]]-#[[1]]==2&&OddQ[Total[IntegerDigits[#[[1]]]]]&&EvenQ[Total[IntegerDigits[#[[2]]]]]&]//Flatten (* Harvey P. Dale, Jan 19 2025 *)

Extensions

Corrected (269,271 inserted, 1229,1231 removed, 3119,3121 removed...) by R. J. Mathar, May 19 2010