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Show that is composite for all primes p. p+14p²-8

Show that is composite for all primes p. p+14p²-8

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Show that is composite for all primes p. (b) Show that for any positive integer n there are n consecutive positive odd integers a1, 02,..., an such that o(ai) 2² p + 14p²-8 is an odd integer for all i.
Transcribed Image Text:(a) Show that is composite for all primes p. (b) Show that for any positive integer n there are n consecutive positive odd integers a1, 02,..., an such that o(ai) 2² p + 14p²-8 is an odd integer for all i.
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