|
| |
|
|
A298075
|
|
Primes p whose last digit is the same as that of both its predecessor prime and its successor prime.
|
|
0
|
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
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 * A239160 A206234 A158775
Adjacent sequences: A298072 A298073 A298074 * A298076 A298077 A298078
|
|
|
KEYWORD
|
nonn,base
|
|
|
AUTHOR
|
K. D. Bajpai, Jan 11 2018
|
|
|
STATUS
|
approved
|
| |
|
|
