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A131284 Numbers n such that difference between prime factors of n-th semiprime is n. 13
5, 80, 86, 613668, 6384425704 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The 6384425704th semiprime is 44690979977 = 7*6384425711. 6384425711-7 = 6384425704. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jul 11 2010]

EXAMPLE

sp(5)=14=2*7 and 7-2=5, sp(80)=249=3*83 and 83-3=80, sp(86)=267=3*89 and 89-3=86; sp(n)=nth semiprime.

PROG

(PARI/gp from M. F. Hasler)

{ n=0; j=1; /* n=3068365-1; j=613668; */

while( l=(j\10^4+1)*10^4, until( l < j++, until(bigomega(n+=1)==2, );

if(2!=#f=factor(n)[, 1], next); if(j==f[2]-f[1], print("\n", [j, n, f])));

print1(j-1, ":"n", "))}

CROSSREFS

Cf. A084126, A084127, A109313, A064910.

Sequence in context: A141828 A134531 A062250 * A105917 A144344 A062364

Adjacent sequences:  A131281 A131282 A131283 * A131285 A131286 A131287

KEYWORD

more,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 25 2007

EXTENSIONS

n=613668 (p=5, q=613673) from M. F. Hasler (maximilian.hasler(AT)gmail.com), Sep 28 2007

a(5) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jul 11 2010

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.