id:A060769 - OEIS Search Results

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"Overdue" primes: upper ends of prime gaps that are larger than the prime number theorem predicts.

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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)

	OFFSET	`1,1`
	FORMULA	`A prime p belongs to the sequence iff p/log(p) - q/log(q) > 1 where q is the preceding prime`
	EXAMPLE	`79 is okay since 79/log(79) - 73/log(73) = 1.065... > 1`
	CROSSREFS	`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`
	KEYWORD	`nonn`
	AUTHOR	`Ulrich Schimke (ulrschimke(AT)aol.com)`

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.

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