A064157 Primes p such that (x1*x2*..xk)^(x1+x2+..xk)=(x1+x2+..xk)^(x1*x2*...xk) where x1x2..xk are the digits of p in base 10.

2, 3, 5, 7, 211, 2141, 2411, 4211, 11251, 12511, 15121, 21221, 25111, 1112171, 1127111, 1172111, 1271111, 7112111, 11112811, 11128111, 11218111, 12111811, 12118111, 12181111, 18211111, 81111211, 81112111, 1111411141, 4111111141, 4111411111

Offset

1,1

Links

Table of n, a(n) for n=1..30.

Example

211 belongs to the sequence because (2*1*1)^(2+1+1)=(2+1+1)^(2*1*1)

Crossrefs

Intersection of A000040 and A064158.

Sequence in context: A122764 A256886 A195302 * A257483 A178371 A067184

Adjacent sequences: A064154 A064155 A064156 * A064158 A064159 A064160

Keyword

nonn,base,more

Author

Felice Russo, Sep 14 2001

Extensions

More terms from Jason Earls, Dec 05 2001

a(18)-a(30) from Sean A. Irvine, Jun 16 2023

Status

approved