A079018 - OEIS

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A079018

Suppose p and q = p+16 are primes. Define the difference pattern of (p,q) to be the successive differences of the primes in the range p to q. There are 17 possible difference patterns, namely [16], [4,12], [6,10], [10,6], [12,4], [4,2,10], [4,6,6], [4,8,4], [6,4,6], [6,6,4], [10,2,4], [4,2,4,6], [4,2,6,4], [4,6,2,4], [6,4,2,4], [4,2,4,2,4], [2,2,4,2,4,2]. Sequence gives smallest value of p for each difference pattern, sorted by magnitude.

3, 7, 13, 31, 43, 67, 73, 151, 181, 211, 241, 277, 331, 463, 487, 1597, 1831

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

p=181, q=197 has difference pattern [10,2,4] and {181,191,193,197} is the corresponding consecutive prime 4-tuple.

CROSSREFS

A022008(1)=7, A078952(1)=13, A078852(1)=73, A078953(1)=67, A078954(1)=1597, A078961(1)=31, A078856(1)=73, A078858(1)=151, A031934(1)=A000230(8)=1831.

Cf. A079016-A079024.

Sequence in context: A083520 A336801 A162869 * A342150 A002383 A163418

Adjacent sequences: A079015 A079016 A079017 * A079019 A079020 A079021

KEYWORD

fini,full,nonn

AUTHOR

Labos Elemer, Jan 24 2003

STATUS

approved