A133589 Index of smallest prime number where n consecutive trailing digits of the index are equal to n consecutive trailing digits in the prime.

7, 243, 1491, 9551, 107647, 303027, 5517973, 27737957, 2293650729, 412763041911, 46492090901, 426836115943, 4895576080181, 77628540590583

Offset

1,1

Comments

Puzzle 217 on Carlos Rivera's The Prime Puzzles & Problems Connection has anticipated some of the concepts of this sequence. Several people have contributed to this puzzle and some of its terms may be seen there. In particular, the first page of the puzzle includes some of the terms of this sequence.

Links

Table of n, a(n) for n=1..14.

Carlos Rivera, Puzzle 217. n in p_n, The Prime Puzzles & Problems Connection.

Example

a(2)=243 because 2=2 and the two overlaying trailing or rightmost digits are 43 in the associated prime 1543.

Crossrefs

Cf. A133583, A133584, A133590.

Sequence in context: A200961 A330517 A086214 * A296377 A223630 A203158

Adjacent sequences: A133586 A133587 A133588 * A133590 A133591 A133592

Keyword

nonn,base,more

Author

Enoch Haga, Sep 18 2007

Extensions

a(5) and a(6) from R. J. Mathar, Sep 20 2007

a(7)-a(14) from Giorgos Kalogeropoulos, Dec 10 2022

Status

approved