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Search: id:A122989
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| A122989 |
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Decimal expansion of Sum_{n >= 1} 1/A007504(n), where A007504(n) is the sum of the first n primes. |
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+0
2
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OFFSET
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1,3
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COMMENT
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Comment from Don Reble (djr@nk.ca), May 14 2007: (Start)
"Summing n=4016708412 primes, I get p(n)=97434417233,
"primeSum=191462469311735988657,
"seriesSum=1.02347632390000000000618+.
"And I compute an upper bound of 1.02347632395-." (End)
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EXAMPLE
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1/2+1/5+1/10+1/17+1/28+1/41+1/58+1/77+1/100+... = 1.023476329...
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CROSSREFS
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Cf. A007504.
Sequence in context: A026237 A125150 A072275 this_sequence A077223 A055265 A117922
Adjacent sequences: A122986 A122987 A122988 this_sequence A122990 A122991 A122992
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KEYWORD
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cons,nonn,more
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AUTHOR
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Pierre CAMI (pierrecami(AT)tele2.fr), Oct 28 2006
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EXTENSIONS
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A number of contributors worked on the difficult question of computing this constant accurately. The above comment from Don Reble gives the tightest bounds presently known. It had been suggested that the true value might be Pi/6 + 1/2 = 1.0235987755982988730771..., but that is now disproved. - njas, Jun 15 2007
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