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A087379

Beginning with 2, primes such that the difference between two successive terms is a distinct composite number.

2, 11, 17, 29, 37, 41, 59, 73, 83, 103, 127, 149, 179, 211, 227, 263, 307, 347, 373, 401, 439, 487, 521, 563, 613, 659, 719, 773, 829, 881, 947, 1009, 1087, 1151, 1223, 1291, 1361, 1447, 1523, 1597, 1693, 1777, 1867, 1949, 2029, 2087, 2179, 2267, 2371, 2473

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OFFSET

0,1

COMMENTS

The sequence of successive differences is given by the following distinct composite numbers 9,6,12,8,4,18,14,10,20,.... And trivially second term onwards only even composite numbers occur. Conjecture: Let a(m+1)-a(m) be composite (k). Then there exists a constant C such that m < C*k.

LINKS

Table of n, a(n) for n=0..49.

FORMULA

a(n) = n-th partial sum of A068632. - David Wasserman, May 24 2005

CROSSREFS

Sequence in context: A108894 A233445 A066794 * A019364 A164368 A194658

Adjacent sequences: A087376 A087377 A087378 * A087380 A087381 A087382

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Sep 09 2003

EXTENSIONS

More terms from David Wasserman, May 24 2005

STATUS

approved

URL: https://oeis.org/A087379

⇱ A087379 - OEIS