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1, 5, 41, 941, 45041, 5381141, 907182041, 261527642141, 94345513738241, 49864774158575141, 41906795264466408041, 40266416996450293824941, 55107620882419848027561041, 92623330477259151438437945141, 171251267391917835862107238146041
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OFFSET
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0,2
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COMMENTS
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Sum of squares of products of first n primes. The subsequence of primes begins: 5, 41, 941, 5381141, ...
a(n) is prime for n = 1, 2, 3, 5, 13, 51, 80, 342, 1754, and no other value below 3000. - Amiram Eldar, Nov 11 2017
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LINKS
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FORMULA
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EXAMPLE
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a(13) = 1 + 4 + 36 + 900 + 44100 + 5336100 + 901800900 + 260620460100 + 94083986096100 + 49770428644836900 + 41856930490307832900, 40224510201185827416900 + 55067354465423397733736100 + 92568222856376731590410384100.
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MATHEMATICA
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primorial[n_] := Product[Prime[i], {i, n}]; a[n_] := Sum[primorial[k]^2, {k, 1, n}]; Table[a[n] + 1, {n, 0, 15}] (* Amiram Eldar, Nov 11 2017 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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