|
Search: id:A076614
|
|
|
| A076614 |
|
Numbers of the form 2^k+3^k+...p_n^k. |
|
+0
1
|
|
| 2, 4, 5, 8, 10, 13, 16, 17, 28, 32, 35, 38, 41, 58, 64, 77, 87, 97, 100, 128, 129, 160, 197, 208, 238, 256, 275, 281, 328, 377, 381, 440, 501, 503, 512, 568, 639, 666, 712, 722, 791, 793, 874, 963, 1024, 1027, 1060, 1161, 1264
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
It is conjectured that 160 is the only number to appear twice: 2+3+...+31=160 2^3+3^3+5^3=160
|
|
EXAMPLE
|
2^2+3^2=4+9=13 2+3+5=10 2^7=128 so these numbers are all present.
|
|
PROGRAM
|
(PARI) v=vector(1000); vc=1; for (n=1, 100, p=primes(n); for (k=1, 10, s=0; for (c=1, n, s=s+p[c]^k); v[vc]=s; vc++; )); vecextract(vecsort(v), "1..100")
|
|
CROSSREFS
|
Sequence in context: A144876 A072437 A115793 this_sequence A000549 A126026 A057129
Adjacent sequences: A076611 A076612 A076613 this_sequence A076615 A076616 A076617
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jon Perry (perry(AT)globalnet.co.uk), Nov 10 2002
|
|
|
Search completed in 0.002 seconds
|
