A modern proof of fermat's little theorem

eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences January 2020 32 1 1 3 http://dx.doi.org/10.22147/jusps-B/320101 1514 article A modern proof of fermat's little theorem LOKANATH SAHOO 1 Reader in Mathematics Gopabandhu Science College, Athgarh , Cuttack (India) <p style="text-align:justify">Fermat’s Little Theorem states that if p is a prime number and a is an integer then ܽ a<sup>p</sup> is congruent to a modulo p . This result is of huge importance in elementary and algebraic number theory. This theorem has many interesting and sometimes unexpected proofs. One modern proof is based upon Euler’s phi function and Euler’s theorem.</p> https://ultraphysicalsciences.org/paper/1514/ : Prime numbers relatively prime congruence modulo relation 2000 AMS Subject classification Primary 11A99.