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Search: id:A060769
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| A060769 |
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"Overdue" primes: upper ends of prime gaps that are larger than the prime number theorem predicts. |
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+0
3
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| 29, 37, 53, 59, 67, 79, 89, 97, 127, 149, 191, 211, 223, 251, 293, 307, 331, 347, 367, 397, 409, 419, 431, 457, 479, 487, 499, 521, 541, 557, 587, 631, 641, 673, 691, 701, 709, 719, 727, 751, 769
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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A prime p belongs to the sequence iff p/log(p) - q/log(q) > 1 where q is the preceding prime
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EXAMPLE
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79 is okay since 79/log(79) - 73/log(73) = 1.065... > 1
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PROGRAM
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(PARI) { default(realprecision, 100); n=0; s=2/log(2); forprime (p=3, 26203, if ((r=p/log(p)) - s > 1, write("b060769.txt", n++, " ", p); ); s=r; ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 11 2009]
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CROSSREFS
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Cf. A060770, A060771.
Apart from 2 this is the complementary prime set to A060770.
Sequence in context: A049746 A097997 A134100 this_sequence A031925 A107134 A139851
Adjacent sequences: A060766 A060767 A060768 this_sequence A060770 A060771 A060772
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KEYWORD
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nonn
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AUTHOR
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Ulrich Schimke (ulrschimke(AT)aol.com)
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