News & Events

Seminar

Date/Time: 
Monday, November 3, 2014 - 11:35 to 12:35
Venue: 
LH-101
Speaker: 
Moni Kumari
Affiliation: 
NISER, Bhubaneswar
Title: 
Euler's famous prime generating polynomial
Abstract: Let $ f_q(x)= x^2+x+q $ where $q$ is a prime integer. If $q=41$ then the above polynomial assume prime values for $n=0,1, 2, \ldots, q-2=39$. What are the prime $q$ for which the above polynomial assume prime values for $n=0, 1, 2, \ldots, q-2$? One can verify that for $q= 2, 3, 5, 11, 17, 41$ the corresponding polynomial behaves like the above. In this talk, we shall discuss that these are the only primes for which the corresponding polynomial behave like the above.

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