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Shantha prime∗ PrimeFan† 2013-03-22 0:25:22 A Shantha prime p is a prime number 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 numbers. References [1] A. K. Devaraj, ”Euler’s Generalization of Fermat’s Theorem-A Further Generalization”, in Proceedings of Hawaii International Conference on Statistics, Mathematics & Related Fields, 2004. ∗ hShanthaPrimei created: h2013-03-2i by: hPrimeFani version: h40301i Privacy setting: h1i hDefinitioni h11A41i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
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