login
A187125
Primes of the form abcdabcd..abcdabc.
1
1074107, 1076107, 1079107, 1093109, 1098109, 1114111, 1117111, 1131113, 1134113, 1171117, 1191119, 1193119, 1196119, 1212121, 1215121, 1218121, 1273127, 1294129, 1297129, 1311131, 1317131, 1333133, 1336133, 1371137, 1373137, 1377137, 1379137, 1398139
OFFSET
1,1
COMMENTS
The sequence appears to be infinite. The number of terms below 10^1000 are 5137.
LINKS
EXAMPLE
a(2)= 1076107 is in the sequence because it is a prime of the form abcdabc.
MATHEMATICA
s[n_]:=Select[Union@Flatten@Table[FromDigits@Flatten@Join[IntegerDigits@Table[b, {n}], {IntegerDigits@Floor[b/10]}], {b, 1000, 9999}], PrimeQ]; Array[s, 2]//Flatten
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Shyam Sunder Gupta, Aug 30 2013
STATUS
approved