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A098865 Primes of the form prime(n) + prime(n+1) - prime(n+2). 1
5, 7, 11, 13, 23, 37, 41, 53, 73, 97, 101, 103, 109, 127, 137, 157, 179, 191, 223, 229, 251, 263, 269, 271, 307, 311, 353, 373, 389, 409, 419, 433, 457, 479, 487, 491, 503, 541, 563, 571, 593, 641, 647, 673, 683, 691, 701, 757, 809, 821, 853, 859, 863, 877 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Many primes of this form arise in several different ways, e.g. 13, 37, 223, 1087, 1423, 1483, 1867, ..., . 13 = 17+19=23 = 19+23-29.

MATHEMATICA

Union[ Select[ Table[Prime[n] + Prime[n + 1] - Prime[n + 2], {n, 155}], PrimeQ[ # ] &]]

Union[Select[#[[1]]+#[[2]]-#[[3]]&/@ Partition[Prime[ Range[20000]], 3, 1], PrimeQ]]  (* From Harvey P. Dale, Mar 14 2011 *)

CROSSREFS

Cf. A098761.

Sequence in context: A045439 A093078 A050541 * A022885 A176831 A200143

Adjacent sequences:  A098862 A098863 A098864 * A098866 A098867 A098868

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 04 2004

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Last modified February 14 11:32 EST 2012. Contains 205623 sequences.