A183177 Numbers n such that (10^(2n+1)+15*10^n-1)/3 is prime.

1, 7, 85, 94, 273, 356, 1077, 1797, 6758, 30232

Offset: 1

Author

Ray Chandler, Dec 28 2010

Keywords

• nonn
• more
• base

Comments

a(11) > 10^5. - Robert Price, Apr 21 2016

References

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

Links

• Patrick De Geest, World!Of Numbers, Palindromic Wing Primes (PWP's)
• Makoto Kamada, Prime numbers of the form 33...33833...33
• Index entries for primes involving repunits.

Crossrefs

Cf. A004023, A077775-A077798, A107123-A107127, A107648, A107649, A115073, A183174-A183187.

Programs

Mathematica

Do[If[PrimeQ[(10^(2n + 1) + 15*10^n - 1)/3], Print[n]], {n, 3000}]

PARI

is(n)=ispseudoprime((10^(2*n+1)+15*10^n-1)/3) \\ Charles R Greathouse IV, Jun 13 2017

Formula

a(n) = (A077792(n)-1)/2.

Extensions

a(10) from Robert Price, Apr 21 2016