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Search: id:A116536
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| A116536 |
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Numbers that can be expressed as the ratio between the product and the sum of consecutive prime numbers starting from 2. |
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+0
9
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| 1, 3, 125970, 1278362451795, 305565807424800745258151050335, 2099072522743338791053378243660769678400212601239922213271230, 330455532167461882998265688366895823334392289157931734871641555
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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a(1) = 1 because 2/2 = 1
a(2) = 3 because (2*3*5)/(2+3+5) = 30/10 = 3
a(3)= 125970 because (2*3*5*7*11*13*17*19)/(2+3+5+7+11+13+17+19) = 9699690/77 = 125790
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MAPLE
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P:=proc(n) local i, j, pp, sp; pp:=1; sp:=0; for i from 1 by 1 to n do pp:=pp*ithprime(i); sp:=sp+ithprime(i); j:=pp/sp; if j=trunc(j) then print(j); fi; od; end: P(100);
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CROSSREFS
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Cf. A108552.
Sequence in context: A115976 A119119 A086785 this_sequence A003544 A137131 A117721
Adjacent sequences: A116533 A116534 A116535 this_sequence A116537 A116538 A116539
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Mar 27 2006
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