A298075 Primes p whose last digit is the same as that of both its predecessor prime and its successor prime.

1637, 3109, 4327, 4861, 6491, 6803, 8563, 11047, 11887, 13441, 13669, 14197, 17519, 17827, 18859, 18869, 20369, 20431, 22511, 22531, 22973, 22993, 24943, 25219, 26459, 26479, 27397, 27551, 28319, 29453, 29473, 31091, 32213, 32401, 34939, 35201, 35291, 36353, 36373

Offset

1,1

Comments

69623 is the least prime in this sequence that is equidistant from its predecessor prime (69593) and its successor prime (69653).

Links

Table of n, a(n) for n=1..39.

Example

1637 is in the sequence because it is prime with last digit 7, and both its predecessor prime (1627) and successor prime (1657) also end in 7.
3109 is in the sequence because each of the three consecutive primes 3089, 3109, and 3119 ends in 9.
3119 is not in the sequence: although it is prime and both it and its predecessor prime (3109) end with the digit 9, the next prime (3121) does not.

Mathematica

Select[Partition[Prime[Range[10000]], 3, 1], Mod[#[[1]], 10] == Mod[#[[2]], 10] == Mod[#[[3]], 10] &][[All, 2]]

Crossrefs

Subsequence of A290450.

Sequence in context: A233121 A054808 A218010 * A362405 A239160 A206234

Adjacent sequences: A298072 A298073 A298074 * A298076 A298077 A298078

Keyword

nonn,base

Author

K. D. Bajpai, Jan 11 2018

Status

approved