A129812 Lesser of consecutive prime pairs whose last digits differ by 6.

7, 19, 23, 31, 37, 53, 61, 67, 73, 79, 83, 97, 109, 127, 131, 151, 173, 229, 233, 251, 263, 271, 277, 307, 317, 331, 349, 353, 373, 379, 383, 397, 433, 439, 443, 457, 487, 499, 503, 541, 563, 571, 593, 601, 653, 733, 739, 751, 757, 769, 839, 859, 877, 907, 937

Offset

2,1

Comments

Conjecture: The number of terms in this sequence is infinite.

Links

Harvey P. Dale, Table of n, a(n) for n = 2..1000

Example

The last digits of the consecutive prime pair 7 and 11 differ by 6 so 7 is in the table.

Mathematica

Select[Partition[Prime[Range[200]], 2, 1], Abs[Mod[#[[1]], 10]-Mod[#[[2]], 10]]==6&][[All, 1]] (* Harvey P. Dale, Jan 23 2023 *)

Prog

(PARI) \d can be 2, 4, 6, 8 primediffd(n, d) = { forprime(x=3, n, y=abs((nextprime(x+1)%10-x%10)); if(y==d, print1(x", ") ) ) }

Crossrefs

Sequence in context: A123532 A113972 A082422 * A353046 A032680 A141831

Adjacent sequences: A129809 A129810 A129811 * A129813 A129814 A129815

Keyword

easy,nonn,base,less

Author

Cino Hilliard, May 19 2007

Status

approved