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

5, 47, 520, 5191, 51462, 518002, 5205110, 52209546, 522955756, 5232998716

Offset

1,1

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

Table of n, a(n) for n=1..10.

C. Rivera, Puzzle 183

Crossrefs

Cf. A050940.

Sequence in context: A136023 A370100 A328032 * A384199 A058806 A302616

Adjacent sequences: A074189 A074190 A074191 * A074193 A074194 A074195

Keyword

nonn,hard,more

Author

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

Extensions

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

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

a(6) corrected and a(10) from Michael S. Branicky, Jan 05 2026

Status

approved