991

This number is a prime.

Just showing those entries submitted by 'Rivera': (Click here to show all)

991 is a prime p such that p^71 can be partitioned into parts whose sum is equal to p. Compare the digits of 991^71 with 5 + 2 + 6 + 2 + 9 + 5 + 2 + 7 + 1 + 9 + 1 + 03 + 5 + 9 + 3 + 09 + 6 + 5 + 3 + 4 + 6 + 3 + 4 + 02 + 7 + 1 + 5 + 1 + 2 + 3 + 4 + 9 + 3 + 08 + 1 + 3 + 3 + 4 + 3 + 3 + 3 + 6 + 9 + 8 + 8 + 9 + 3 + 5 + 6 + 8 + 1 + 7 + 9 + 9 + 8 + 8 + 8 + 1 + 2 + 8 + 6 + 5 + 3 + 9 + 8 + 7 + 8 + 2 + 2 + 8 + 3 + 5 + 07 + 3 + 8 + 4 + 4 + 2 + 2 + 1 + 7 + 2 + 3 + 4 + 1 + 4 + 3 + 2 + 03 + 5 + 6 + 8 + 9 + 5 + 2 + 6 + 7 + 3 + 8 + 4 + 2 + 9 + 8 + 7 + 6 + 8 + 2 + 4 + 5 + 4 + 8 + 5 + 8 + 04 + 8 +4 + 04 + 4 + 07 + 5 + 8 + 6 + 00 + 9 + 7 + 7 + 1 + 9 + 8 + 6 + 2 + 1 + 4 + 1 + 5 + 4 + 6 + 3 + 4 + 5 + 3 + 4 + 3 + 9 + 6 + 4 + 1 + 4 + 4 + 4 + 5 + 7 + 3 + 5 + 09 + 4 + 5 + 3 + 1 + 7 + 4 + 5 + 2 + 3 + 6 + 07 + 8 + 9 + 6 + 1 + 1 + 4 + 7 + 6 + 06 + 8 + 8 + 9 + 5 + 2 + 2 + 4 + 7 + 7 + 9 + 9 + 8 + 5 + 00 + 9 + 05 + 9 + 4 + 1 + 3 + 7 + 9 + 1. Found by Giovanni Resta and Hjakan Summakoglu. [Rivera]