|
|
A109279
|
|
Numbers n such that a^d + b^d + c^d + ... is prime, where a*b*c* ... is the prime factorization of n and d is the largest digit of n.
|
|
1
|
|
|
10, 11, 12, 14, 34, 40, 54, 56, 63, 101, 142, 176, 184, 232, 245, 279, 296, 300, 320, 325, 333, 376, 384, 432, 475, 500, 504, 561, 567, 568, 595, 640, 651, 657, 664, 714, 768, 778, 780, 792, 796, 824, 864, 867, 972, 1001, 1016, 1020, 1042, 1048, 1110, 1112
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
1118092 generates a 50 digit prime: 2^9 + 2^9 + 279523^9.
|
|
LINKS
|
|
|
EXAMPLE
|
34 is in the sequence because 34=2*17 and 2^4 + 17^4 = 83537, a prime.
|
|
CROSSREFS
|
|
|
KEYWORD
|
base,easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|