A054813 First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4).

1831, 2477, 3413, 9551, 21433, 22973, 25189, 26053, 32143, 33359, 33893, 39047, 40771, 41203, 44221, 47251, 48787, 55849, 57751, 66977, 70079, 74231, 74653, 74687, 75083, 75109, 82913, 84263, 87811, 88339, 88609, 103723, 103843, 106219, 106921, 108139, 110881, 112979, 118093

Offset

1,1

Links

M. F. Hasler, Table of n, a(n) for n = 1..2500, Oct 27 2018

Formula

a(n) = A151799(A054814(n)), A054813 = { m = A054808(n) | m = A151799(A054808(n+1)) }, where A151799 = next smaller prime. - M. F. Hasler, Oct 27 2018

Crossrefs

Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quartets (= consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime quartet, quintet, sextet; A054819 .. A054840: members of weak prime quartet, quintet, sextet, septets.

Sequence in context: A031934 A020423 A031804 * A320720 A186899 A185484

Adjacent sequences: A054810 A054811 A054812 * A054814 A054815 A054816

Keyword

nonn

Author

Henry Bottomley, Apr 10 2000

Extensions

More terms and offset corrected to 1 by M. F. Hasler, Oct 27 2018

Status

approved