A155074 Primes that appear as a substring in the concatenation of primes.

23, 31, 71, 113, 131, 167, 271, 293, 317, 347, 359, 373, 379, 389, 491, 571, 631, 673, 677, 719, 761, 773, 811, 877, 911, 929, 937, 941, 971, 983, 997, 1031, 1091, 1103, 1171, 1193, 1223, 1231, 1283, 1291, 1361, 1409, 1433, 1511, 1523, 1531, 1571, 1607

Offset

1,1

Comments

Start with a blank concatenation string S. Does prime p(1)=2 appear in string S? No. Concatenate 2 to string S. Does prime p(2)=3 appear in string S="2"? No. Concatenate 3 to string S. Does prime p(3)=5 appear in string S="23"? No. Concatenate 5 to string S. and so on Does prime p(9)=23 appear in string S="235711131719"? Yes. 23 is in the sequence. Do not concatenate 23 to string S.

Links

Table of n, a(n) for n=1..48.

Example

a(1)= 23 because 23 appears in the string 235711131719. a(3)= 71 because 71 appears in the string 235711131719293741434753596167. (Notice "23" is omitted from the string here: 235711131719--293741434753596167.)

Crossrefs

Sequence in context: A165985 A093014 A165450 * A105007 A243438 A154291

Adjacent sequences: A155071 A155072 A155073 * A155075 A155076 A155077

Keyword

easy,nonn,base

Author

Gil Broussard, Jan 19 2009

Status

approved