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A060769 "Overdue" primes: upper ends of prime gaps that are larger than the prime number theorem predicts. 5
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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1000

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 in the sequence because 79/log(79) - 73/log(73) = 1.065... > 1.

PROG

(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; ) } \\ Harry J. Smith, Jul 11 2009

CROSSREFS

Cf. A060770, A060771.

Apart from 2 this is the complementary prime set to A060770.

Sequence in context: A177873 A234973 A134100 * A031925 A325058 A107134

Adjacent sequences:  A060766 A060767 A060768 * A060770 A060771 A060772

KEYWORD

nonn

AUTHOR

Ulrich Schimke (ulrschimke(AT)aol.com)

STATUS

approved

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Last modified December 1 04:02 EST 2021. Contains 349426 sequences. (Running on oeis4.)