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

Author

Enoch Haga, Sep 18 2007

Keywords

• nonn
• base
• more

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.

Examples

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

Links

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

Crossrefs

Cf. A133583, A133584, A133590.

Extensions

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

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