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A109819
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Product of primes between n and n^2.
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2
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1, 6, 105, 5005, 37182145, 6685349671, 20496326086283047, 558516101711461766587, 15322117939717490037614688353, 10978895066407230594062391177770267, 150524069716274322800691458531160297587022319, 4335344870389259769484516507207766258600144871515339
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(3) = 105 because 3, 5 and 7 are the A073882(3) = 3 primes in the interval from 3 to 3^2 inclusive and 3 * 5 * 7 = 105.
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MATHEMATICA
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Join[{1}, Table[Product[Prime[i], {i, If[PrimeQ[n], PrimePi[n], PrimePi[n]+1], PrimePi[n^2]}], {n, 2, 10}]] (* James C. McMahon, Apr 01 2024 *)
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PROG
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(PARI) for(n=1, 15, print1(prod(k=n, n^2, if(isprime(k), k, 1)), ", "))
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CROSSREFS
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Cf. A109818 (sum of same primes), A073882 (number of primes between n and n^2).
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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