A094230 Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).

1429, 1447, 1489, 2083, 2617, 2953, 3529, 4153, 5689, 8443, 10267, 10627, 12409, 13147, 15667, 15787, 20743, 22027, 22153, 24763, 24967, 26107, 27733, 28513, 33613, 34843, 35569, 37963, 39313, 43987, 44203, 46807, 47977, 51577, 54163

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

a(3)=1489 because 1489 and 1493 are cousin primes, while 1490-1492 each have 3 prime divisors (counting multiplicity).

Mathematica

cppdQ[n_]:=PrimeQ[n+4]&&Length[Union[PrimeOmega[Range[n+1, n+3]]]]==1; Select[ Prime[ Range[6000]], cppdQ] (* Harvey P. Dale, Mar 31 2019 *)

Crossrefs

Cf. A023200.

Sequence in context: A156853 A292704 A321036 * A353080 A238136 A060364

Adjacent sequences: A094227 A094228 A094229 * A094231 A094232 A094233

Keyword

easy,nonn

Author

Jason Earls, May 29 2004

Status

approved