A074192 Number of numbers 0 <= m < 10^n which are not the sum of one or more consecutive primes.

5, 47, 520, 5191, 51462, 518001, 5205110, 52209546, 522955756

Offset: 1

Author

Jean-christophe Colin (jc-colin(AT)wanadoo.fr), Sep 19 2002

Keywords

• hard
• nonn

Comments

If the upper limit is changed to include 10^n, the entries are increased by 1 for n = 3, 4, 5,.. and perhaps others, because 1000, 10000 and 100000 are not sums of consecutive primes, whereas 10=2+3+5 and 100=2+3+5+...+19+23 are. [R. J. Mathar, Oct 10 2010]

Based on work of Enoch Haga, Jud McCranie and Felice Russo.

The ratio a(n)/10^n might be converging to 0.52..., it might also be slowly growing to 1, which way is it? - Daniel Forgues, Nov 03 2011

Links

• C. Rivera, Puzzle 183

Crossrefs

Cf. A050940.

Extensions

Definition corrected by R. J. Mathar, Oct 10 2010

a(8) corrected and a(9) from Sean A. Irvine, Jan 14 2025