# Mathematician:Mathematicians/Minor Mathematicians/P

## Minor Mathematicians

This page collects mentions of minor (mainly contemporary) mathematicians whose biographical details are unavailable.

For more comprehensive information on the lives and works of mathematicians through the ages, see the MacTutor History of Mathematics archive, created by John J. O'Connor and Edmund F. Robertson.

The army of those who have made at least one definite contribution to mathematics as we know it soon becomes a mob as we look back over history; 6,000 or 8,000 names press forward for some word from us to preserve them from oblivion, and once the bolder leaders have been recognised it becomes largely a matter of arbitrary, illogical legislation to judge who of the clamouring multitude shall be permitted to survive and who be condemned to be forgotten.
-- Eric Temple Bell: Men of Mathematics, 1937, Victor Gollancz, London

### P

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• 2015: Schatunowsky's theorem, Bonse's inequality, and Chebyshev's theorem in weak fragments of Peano arithmetic (Math. Log. Quart Vol. 61, no. 3: pp. 230 – 235)

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##### M.A. Penk

With Robert Baillie, achieved the full factorisation of Mersenne number $M_{257}$.

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##### Andy Pepperdine

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• 1989: Pythagorean Quadrilaterals (J. Recr. Math. Vol. 21: pp. 8 – 12)

##### J. Perrot
$\ds\lim_{n \mathop \to \infty} \dfrac {\map \Phi n} {n^2} = \dfrac 3 {\pi^2}$

where:

$\map \Phi n = \ds \sum_{k \mathop = 1}^n \map \phi k$
$\map \phi k$ is the Euler $\phi$ function of $k$.

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##### David L. Phillips

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• 1962: A Technique for the Numerical Solution of Certain Integral Equations of the First Kind (J. ACM Vol. 9: pp. 84 – 97)

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##### S. Pilpel

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• 1985: Some More Double Palindromic Integers (J. Recr. Math. Vol. 18: pp. 174 – 176)

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##### R.E. Powers

American amateur mathematician who discovered the $10$th and $11$th Mersenne primes $2^{89} - 1$ (in $1911$) and $2^{107} - 1$ (in $1914$.)

In $1916$, he determined that $2^{241} - 1$ is composite.
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##### I. Gusti Putu Purnaba

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