A055737 - OEIS

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A055737

Number of prime triples < 10^n, where a prime triple means 3 successive primes of the form {p, p+2, p+4} or {p, p+4, p+6}.

1

0, 8, 30, 112, 507, 2837, 17220, 111156, 759256, 5425573, 40174725, 305689269, 2379622234, 18887841658

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

For this sequence all three members of the triple must be below the 10^n bound. - Sean A. Irvine, Apr 04 2022

REFERENCES

J. Recreational Math., vol. 23, No. 2, 1991, p. 97.

LINKS

Table of n, a(n) for n=1..14.

Index entries for sequences related to numbers of primes in various ranges

MATHEMATICA

x=168; a=Table[ Prime[ n ], {n, 1, x} ] c=0; Do[ If[ a[[ n ]]+6==a[ [ n+2 ] ], c++ ], {n, 1, x-2} ]; c # the values of x to use are given by A006880

CROSSREFS

Cf. A055738, A006880, A007529, A098415.

Sequence in context: A279217 A050477 A239612 * A293965 A161222 A229374

Adjacent sequences: A055734 A055735 A055736 * A055738 A055739 A055740

KEYWORD

more,nonn

AUTHOR

Robert G. Wilson v, Jun 09 2000

EXTENSIONS

a(7)-a(9) from Jud McCranie, Oct 07 2000

a(10)-a(12) from Martin Raab, Oct 04 2006

a(13)-a(14) from Charles R Greathouse IV, Feb 09 2022

STATUS

approved