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A124936 Numbers n such that n -/+ 1 are semiprimes. 9
5, 34, 50, 56, 86, 92, 94, 120, 122, 142, 144, 160, 184, 186, 202, 204, 214, 216, 218, 220, 236, 248, 266, 288, 290, 300, 302, 304, 320, 322, 328, 340, 392, 394, 412, 414, 416, 446, 452, 470, 472, 516, 518, 528, 534, 536, 544, 552, 580, 582, 590, 634, 668 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All but first term are even. Cf. A092207 Numbers n such that n and n+2 are semiprimes, A086005 Numbers n such that n, n -/+ 1 are semiprimes, A086006 Primes p such that 2*p-1 and 2*p+1 are semiprimes, A082130 2*n-1 and 2*n+1 are semiprimes.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

FORMULA

a(n)=A092207(n)+1; at n>=2, a(n)=2*A082130(n-1).

MATHEMATICA

lst={}; Do[If[Plus@@Last/@FactorInteger[n-1]==2&&Plus@@Last/@FactorInteger[n+1]==2, AppendTo[lst, n]], {n, 7!}]; lst [From Vladimir Joseph Stephan Orlovsky, Feb 01 2009]

CROSSREFS

Cf. A086005, A086006, A082130, A092207.

Sequence in context: A212296 A145505 A193325 * A213063 A223137 A068560

Adjacent sequences:  A124933 A124934 A124935 * A124937 A124938 A124939

KEYWORD

nonn

AUTHOR

Zak Seidov, Nov 13 2006

STATUS

approved

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Last modified May 24 11:06 EDT 2013. Contains 225619 sequences.