A112530 Numbers k such that prime(k) +/- k and prime(k) +/- 2k are all primes.

720, 1920, 5580, 14370, 17160, 21090, 26040, 28560, 38280, 43680, 43890, 50730, 60090, 77850, 100800, 104760, 120060, 125190, 155100, 167850, 171780, 193260, 202470, 206460, 211860, 217830, 221880, 224070, 249900, 249990, 252420, 261960

Offset

1,1

Comments

Are all terms divisible by 30?

Union of A064403 and A112529.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..228(all terms up to 5 million)

Mathematica

Select[Range[720, 2000000, 10], PrimeQ[Prime[ # ]+# ]&&PrimeQ[Prime[ # ]-# ]&&PrimeQ[Prime[ # ]+2# ]&&PrimeQ[Prime[ # ]-2# ]&]
Select[Range[262000], AllTrue[Prime[#]+{#, -#, 2#, -2#}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 02 2021 *)

Crossrefs

Cf. A064403, A112529.

Sequence in context: A131663 A090392 A253734 * A052800 A321842 A052794

Adjacent sequences: A112527 A112528 A112529 * A112531 A112532 A112533

Keyword

nonn

Author

Zak Seidov, Sep 10 2005

Status

approved