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单词 ShanthaPrime
释义

Shantha prime


A Shantha prime p is a prime numberMathworldPlanetmath of the form p=3q-2 with q being a Mangammal prime (http://planetmath.org/MangammalPrime). 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.

References

  • 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.
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