1) Find all integers n>1 for which n^4+4^n is a prime.
2) Are there any integers x and y such that x^2-5y^2=2. Show it
3) How many integers are there such that n such that 2^n+27 is divisible by 7?
4) Find the least postive integer that leaves remainder of 1, 1, 4, 3 when divided by 2, 3, 5, and 4 respectively.
5) Solve the folowing congruences: x=5(mod 7), x=7(mod12) , x=3(mod 25).
6) Last one now. Solve x=5(mod6), x=4(mod 11), x=3(mod 17)
2006-08-26
19:38:03
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8 answers
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asked by
edwinvandesar
1