A111042 Odd terms of A059756.

903, 2545, 4533, 5067, 8759, 9071, 9269, 10353, 11035, 11625, 11865, 13629, 15395, 15493, 16803, 17955, 18575, 18637, 19149, 24189, 35547, 36941, 37911, 42111, 43613, 45179, 50717, 52383, 53367, 54159, 58285, 59903, 61333, 62373, 65109, 67807, 68483, 70109, 72575

Offset

1,1

Comments

Dowe (1989) conjectured that all Erdős-Woods numbers (A059756) are even. The first counterexamples were found in 2001 by Marcin Bienkowski, Mirek Korzeniowski and Krysztof Lorys, and independently by Nik Lygeros (Cégielski et al., 2003). - Amiram Eldar, Jun 20 2021

Links

Amiram Eldar, Table of n, a(n) for n = 1..50 (terms up to 10^5, from Felgenhauer's link)

Patrick Cégielski, François Heroult and Denis Richard, On the amplitude of intervals of natural numbers whose every element has a common prime divisor with at least an extremity, Theor. Comp. Sci., Vol. 303, No 1 (2003), pp. 53-62.

David L. Dowe, On the existence of sequences of co-prime pairs of integers, J. Austral. Math. Soc. Ser. A, Vol. 47, No. 1 (1989), pp. 84-89.

Bertram Felgenhauer, Some OEIS computations. (Includes the terms of this sequence up to 100000)

Nik Lygeros, 737 - From the computation of Erdös-Woods Numbers to the quadratic Goldbach Conjecture, 2012.

Crossrefs

Cf. A059756.

Sequence in context: A158406 A323143 A284744 * A115496 A252390 A218158

Adjacent sequences: A111039 A111040 A111041 * A111043 A111044 A111045

Keyword

nonn,hard

Author

Victor S. Miller, Oct 08 2005

Extensions

Corrected by T. D. Noe, Nov 02 2006

More terms from Felgenhauer added by Amiram Eldar, Jun 20 2021

Status

approved