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A076614
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Numbers of the form 2^k+3^k+...p_n^k.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| It is conjectured that 160 is the only number to appear twice: 2+3+...+31=160 2^3+3^3+5^3=160
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EXAMPLE
| 2^2+3^2=4+9=13 2+3+5=10 2^7=128 so these numbers are all present.
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PROG
| (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")
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CROSSREFS
| Sequence in context: A144876 A072437 A115793 * A000549 A191985 A126026
Adjacent sequences: A076611 A076612 A076613 * A076615 A076616 A076617
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KEYWORD
| nonn
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AUTHOR
| Jon Perry (perry(AT)globalnet.co.uk), Nov 10 2002
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