Very short primality proofs

Type: Article

Publication Date: 1987-01-01

Citations: 29

DOI: https://doi.org/10.1090/s0025-5718-1987-0866117-4

Abstract

It is shown that every prime <italic>p</italic> has a proof of its primality of length <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper O left-parenthesis log p right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>log</mml:mi> <mml:mo>⁡<!-- ⁡ --></mml:mo> <mml:mi>p</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">O(\log p)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> multiplications modulo <italic>p</italic>.

Locations

  • Mathematics of Computation - View - PDF

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