A242435 Number of terms of A182116 between 2^n and 2^(n+1).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 6, 2, 7, 8, 6, 12, 11, 21, 24, 27, 35, 45, 68, 86, 117, 176, 206, 260, 370, 457, 565, 750, 967, 1321, 1531, 1978, 2842, 3723, 4587, 5677, 8354, 10708, 13435, 17259, 23040, 31741, 40146, 48596, 66728, 92193, 112771, 149002, 209890

Offset: 1

Author

Brad Clardy, May 14 2014

Keywords

• nonn

Comments

This was done with data on Carmichael numbers below 10^21 provided by R. G. E. Pinch, and special computational assistance from William Stein.

There are 16396564 Carmichael numbers below 2^69 but only 849752 have the property of A182116. It looks as though the ratio of Carmichael numbers of this type to normal Carmichael numbers converges to a value around 0.051.

Links

• Richard Pinch, Carmichael numbers up to 10^21

Crossrefs

Cf. A002997, A182116, A182108, A182490.