login
A054837
Fourth term of weak prime septet: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).
2
15391, 64937, 68219, 68909, 128993, 129001, 143527, 154097, 158017, 192391, 221729, 222419, 244481, 249749, 285317, 318691, 337291, 354383, 357859, 374203, 385403, 394739, 402593, 402601, 419609, 439183, 441937, 448397, 457411, 457687, 458207, 482519, 527993
OFFSET
1,1
LINKS
FORMULA
a(n) = A151800(A054836(n)) = A151799(A054838(n)), A151800 = nextprime, A151799 = prevprime; A054837 = { m = A054830(n) | m = nextprime(A054830(n-1)) }. - M. F. Hasler, Oct 27 2018
MATHEMATICA
Transpose[Select[Partition[Prime[Range[100000]], 7, 1], Min[ Differences[ #, 2]] > 0&]][[4]] (* Harvey P. Dale, Aug 29 2013 *)
CROSSREFS
Cf. 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: A182255 A054836 A362880 * A345562 A345817 A252990
KEYWORD
nonn
AUTHOR
Henry Bottomley, Apr 10 2000
EXTENSIONS
More terms from Harvey P. Dale, Aug 29 2013
STATUS
approved