+91-674-249-4082

Submitted by admin on 30 October, 2014 - 09:53

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.

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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