A082709 Numbers k such that (35*10^(k-1) - 53)/9 is a plateau prime.

3, 13, 31, 61, 117, 291, 633, 1065, 1495, 5433, 7363

Offset

1,1

Comments

Prime versus probable prime status and proofs are given in the author's table.

References

C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Table of n, a(n) for n=1..11.

Patrick De Geest, PDP Reference Table - 383.

Makoto Kamada, Prime numbers of the form 388...883.

Index entries for primes involving repunits.

Formula

a(n) = A056256(n) + 2.

Example

k=13 -> (35*10^(13-1) - 53)/9 = 3888888888883.

Crossrefs

Cf. A082697-A082720, A056256.

Sequence in context: A051939 A257764 A146728 * A154833 A106090 A067980

Adjacent sequences: A082706 A082707 A082708 * A082710 A082711 A082712

Keyword

nonn,base,hard,more

Author

Patrick De Geest, Apr 13 2003

Extensions

Edited by Ray Chandler, Nov 05 2014

Status

approved