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A140120 Primes of the form prime(x)*prime(x+1) - (prime(x+1)-prime(x)). 0
5, 13, 73, 433, 661, 2017, 3121, 6553, 16633, 47041, 53353, 55681, 116929, 159193, 198901, 216217, 223681, 250993, 256021, 364801, 404461, 444841, 938953, 988021, 1022113, 1299457, 1340929, 1476217, 1545001, 1640953, 1687393, 1932001, 1971181, 2030617, 2099593, 2119921, 2178541, 2301241 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

2*3-(3-2)=2*3-1=5, 3*5-(5-3)=3*5-2=13, 7*11-(11-4)=7*11-4=73

MATHEMATICA

a = {}; Do[p1 = Prime[n]; p2 = Prime[n + 1]; p = p1*p2 - (p2 - p1); If[PrimeQ[p], AppendTo[a, p]], {n, 10^2}]; a

Select[#[[1]]#[[2]]-(#[[2]]-#[[1]])&/@Partition[Prime[Range[250]], 2, 1], PrimeQ]  [From Harvey P. Dale, Feb 01 2011]

CROSSREFS

Sequence in context: A139361 A115329 A137702 * A163732 A064169 A081525

Adjacent sequences:  A140117 A140118 A140119 * A140121 A140122 A140123

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 21 2008

EXTENSIONS

More terms from Harvey P. Dale, Feb 01 2011

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Last modified February 16 09:50 EST 2012. Contains 205904 sequences.