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Search: id:A139516
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| A139516 |
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Denominators of an Egyptian fraction for "e", using only prime numbers and allowing repetitions. |
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+0
3
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| 2, 2, 2, 2, 2, 5, 59, 751, 894503, 18292510297, 5993565343364843081, 818638308229506590060391447618925613, 5089762493052274984454740075748133007549187136115352857668628331136557
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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1/2+1/2+1/2+1/2 = 2 (integer part of "e").
1/2+1/5+1/59+1/751 gives an approximation that is good to 10 decimal digits.
Adding the other fractions we get approximations good to 18, 35, 69, 137, 272, 541 decimal digits.
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MAPLE
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P:=proc(n) local a, i; a:=evalf(exp(1)-2, 100); for i from 1 by 1 to 4 do print(2); od; for i from 1 by 1 to n do if 1/ithprime(i)<a then a:=a-1/ithprime(i); print(a); print(ithprime(i)); fi; od; end: P(100000);
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CROSSREFS
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Cf. A139514, A139515, A139517-A139523.
Adjacent sequences: A139513 A139514 A139515 this_sequence A139517 A139518 A139519
Sequence in context: A115101 A023569 A051887 this_sequence A112968 A104588 A010671
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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), Apr 24 2008
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