A165982 -id:A165982 - cp's OEIS frontend

A166034 Primes which are equal to the sum of three consecutive primes minus 2.

13, 29, 47, 107, 157, 197, 233, 317, 347, 563, 587, 631, 659, 677, 769, 787, 827, 839, 881, 929, 983, 1013, 1031, 1097, 1117, 1283, 1301, 1531, 1583, 1609, 1733, 1777, 1847, 1889, 1913, 2099, 2153, 2213, 2267, 2477, 2969, 3083, 3119, 3137, 3191, 3217

Offset: 1

Juri-Stepan Gerasimov, Oct 05 2009

nonn

			a(1)=3+5+7-2=13; a(2)=7+11+13-2=29; a(3)=13+17+19-2=47.

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A000040, A165982.

Select[Table[Sum[Prime[k], {k, n , n + 2}] - 2, {n, 1, 100}], PrimeQ] (* G. C. Greubel, Apr 24 2016 *)
Select[Total/@Partition[Prime[Range[300]],3,1]-2,PrimeQ] (* Harvey P. Dale, Dec 31 2018 *)

1997 removed and 2267 added by R. J. Mathar, Oct 08 2009

A234973 Primes that are 6 plus the sum of three consecutive primes.

Original entry on oeis.org

29, 37, 47, 89, 103, 127, 137, 149, 179, 193, 229, 241, 257, 293, 307, 317, 401, 431, 463, 509, 557, 571, 587, 613, 719, 809, 823, 863, 937, 947, 967, 991, 1021, 1039, 1193, 1213, 1277, 1291, 1321, 1373, 1439, 1483, 1499, 1559, 1709, 1723, 1741, 1873, 1949, 1979

Offset: 1

Vincenzo Librandi, Jan 02 2014

nonn

Primes of the form 6+A034961(k).

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A034961, A165982, A165985.

Select[Total[#] + 6&/@Partition[Prime[Range[200]], 3, 1], PrimeQ]

cp's OEIS Frontend

A166034 Primes which are equal to the sum of three consecutive primes minus 2.

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