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A054806
Third term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2).
4
41, 71, 101, 227, 281, 311, 461, 487, 617, 641, 727, 757, 857, 881, 937, 1091, 1301, 1427, 1451, 1481, 1549, 1663, 1667, 1697, 1741, 1783, 1787, 1861, 1867, 1871, 1993, 1997, 2063, 2141, 2339, 2377, 2381, 2467, 2473, 2521, 2531, 2539, 2591, 2617, 2657
OFFSET
1,1
LINKS
M. F. Hasler, Table of n, a(n) for n = 1..10000, Oct 27 2018
FORMULA
a(n) = nextprime(A054805(n)) = prevprime(A054807(n)), nextprime = A151800, prevprime = A151799. - M. F. Hasler, Oct 27 2018
MATHEMATICA
Select[Partition[Prime[Range[400]], 4, 1], Max[Differences[#, 2]]<0&][[All, 3]] (* Harvey P. Dale, Aug 28 2021 *)
CROSSREFS
Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quartets (= 4 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: A334765 A269807 A289982 * A057540 A362592 A105126
KEYWORD
nonn
AUTHOR
Henry Bottomley, Apr 10 2000
EXTENSIONS
Offset corrected to 1 by M. F. Hasler, Oct 27 2018
Definition clarified by N. J. A. Sloane, Aug 28 2021
STATUS
approved