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Search: id:A109819
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| A109819 |
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Product of primes between n and n^2. |
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+0
2
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| 1, 6, 105, 5005, 37182145, 6685349671, 20496326086283047, 558516101711461766587, 15322117939717490037614688353, 10978895066407230594062391177770267
(list; graph; listen)
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OFFSET
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1,2
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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. (a(1) = 1 is the empty product.).
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PROGRAM
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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).
Sequence in context: A126467 A013294 A013300 this_sequence A162130 A048707 A075068
Adjacent sequences: A109816 A109817 A109818 this_sequence A109820 A109821 A109822
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KEYWORD
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easy,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 02 2005
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