Shantha prime

A Shantha prime p is a prime numberMathworldPlanetmath of the form p=3q-2 with q being a Mangammal prime ( The smallest Shantha prime is 7=32-2. The next is 3541-2 and has 259 digits. Shantha primes are very rare among the smaller numbers. The above formulation generates mostly composite numbersMathworldPlanetmath.


  • 1 A. K. Devaraj, ”Euler’s GeneralizationPlanetmathPlanetmath of Fermat’s Theorem-A Further Generalization”, in Proceedings of Hawaii International Conference on Statistics, Mathematics & Related Fields, 2004.
Title Shantha prime
Canonical name ShanthaPrime
Date of creation 2013-03-22 17:49:54
Last modified on 2013-03-22 17:49:54
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 26
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A41