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Search: id:A100604
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| A100604 |
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Numbers n such that (prime(n)-1)! + prime(n)^3 is prime. |
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1
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OFFSET
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1,1
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COMMENT
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n={2, 3, 4, 28} yields primes p(n)={3, 5, 7, 107}. There are no more such n up to n=100. Verified by Ray Chandler.
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LINKS
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J. V. Post, Math Pages.
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FORMULA
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Numbers n such that (prime(n)-1)! + prime(n)^3 is prime, where prime(n) is the n-th prime.
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EXAMPLE
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a(3) = 4 because (prime(4)-1)! + prime(4)^3 = (7-1)! + 7^3 = 720 + 343 = 1063 is the 3rd prime of this form.
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MATHEMATICA
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lst={}; Do[p=Prime[n]; If[PrimeQ[(p-1)!+p^3], AppendTo[lst, n]], {n, 10^2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 08 2008]
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CROSSREFS
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Cf. A100858.
Sequence in context: A044906 A141565 A098549 this_sequence A062931 A114333 A059614
Adjacent sequences: A100601 A100602 A100603 this_sequence A100605 A100606 A100607
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 30 2004
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