A089318 Smallest prime of the form an n-th power followed by digit 1.

31, 41, 271, 811, 77761, 641, 21871, 16796161, 196831, 259374246011, 19773267431, 40961, 9688901040700000000000001, 163841, 1368800680154120519681, 1214395310965942517761, 58744031063604200188795536431, 3874204891, 2748779069441, 1757494343868923397049845066579063588307980412147890120011

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Example

a(4) = 811 is the prime which is the concatenation of 3^4 and 1. 161 is not a prime.

Prog

(PARI) a(n) = my(k=2); while (!isprime(10*k^n+1), k++); 10*k^n+1; \\ Michel Marcus, Mar 08 2025

Crossrefs

Cf. A089319.

Sequence in context: A040180 A158754 A140458 * A364149 A101520 A225862

Adjacent sequences: A089315 A089316 A089317 * A089319 A089320 A089321

Keyword

base,nonn

Author

Amarnath Murthy, Nov 03 2003

Extensions

More terms from David Wasserman, Sep 09 2005

Missing a(1) inserted and more terms from Michel Marcus, Mar 08 2025

Status

approved