Colbert Number

Author

Eric W. Weisstein
April 5, 2009

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PrimeNumbers/ColbertNumber.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/ColbertNumber.html.

©2009 Wolfram Research, Inc. except for portions noted otherwise

Known

l={{5359,5054502},{19249,13018586},{27653,9167433},{28433,7830457},{33661,7031232}};

TableForm[{n=#[[1]]2^HoldForm[Evaluate[#[[2]]]]+1,IntegerLength[ReleaseHold[n]]}&/@l]//TraditionalForm

Unknown

l={10223 2^x+1,
21181 2^x+1,
22699 2^x+1,
24737 2^x+1,
55459 2^x+1,
67607 2^x+1}