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

Author

Victor S. Miller, Oct 08 2005

Keywords

• nonn
• hard

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

• Bertram Felgenhauer, Table of n, a(n) for n = 1..227
• 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 10^6)
• Nik Lygeros, 737 - From the computation of Erdös-Woods Numbers to the quadratic Goldbach Conjecture, 2012.

Crossrefs

Cf. A059756.

Extensions

Corrected by T. D. Noe, Nov 02 2006

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