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A294507
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Sum(m^p, m=1..p-1) / p^2 as p runs through the odd primes.
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3
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1, 52, 7689, 1176564625, 915495729492, 1507470694179701824, 2916521865098581522761, 21333370304597346190818638521, 1675481131512375613482932303229309861556, 9784120259254858957467327917016090730358625, 4284997268972399392421947270075253022799901265537333204
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) (mod prime(n+1)) = (prime(n+1) - 1)/2 = A005097(n).
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EXAMPLE
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a(1) = (1^3 + 2^3)/3^2 = (1 + 8)/9 = 1.
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MATHEMATICA
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Table[ p = Prime[n]; Sum[ m^p, {m, 1, p - 1}] / p^2, {n, 2, 12}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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