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A099726
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A004125(A000040(n)): Sum of remainders of the n-th prime mod k, for k = 1,2,3,...,n.
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2
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0, 1, 3, 5, 7, 7, 14, 18, 28, 30, 31, 26, 38, 45, 63, 71, 93, 75, 96, 115, 101, 142, 161, 167, 152, 159, 203, 224, 219, 222, 216, 250, 263, 296, 341, 320, 319, 349, 433, 427, 496, 419, 487, 481, 538, 537, 495, 631, 635, 676, 697, 777, 665, 820, 784, 874, 929, 856
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| a(7)=14 because the 7th prime is 17 and its remainders modulo 1,2,3,4,5,6,7 are 0,1,2,1,2,5,3 respectively and 0+1+2+1+2+5+3=14.
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MAPLE
| umpf:=n->add(modp(floor(ithprime(n)), m), m=1..n); seq(umpf(k), k=1..120);
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CROSSREFS
| Cf. A000040, A004125.
Sequence in context: A172365 A098566 A006540 * A202664 A202124 A201088
Adjacent sequences: A099723 A099724 A099725 * A099727 A099728 A099729
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KEYWORD
| easy,nonn
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AUTHOR
| Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 07 2004
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