# Number Theory Forum

Number Theory Help Forum

1. ### Prove using induction on n that 3 divides (4^n)+5

• Replies: 16
• Views: 4,472
Jul 2nd 2011, 07:38 AM
2. ### [SOLVED] Proof of 2p dividing...

• Replies: 4
• Views: 397
Jun 30th 2011, 09:41 AM
3. ### [SOLVED] Congruence Problem

• Replies: 7
• Views: 497
Jun 29th 2011, 08:41 AM
4. ### [SOLVED] Congruence Help!

• Replies: 5
• Views: 2,341
Jun 28th 2011, 11:41 PM
5. ### [SOLVED] Divisibility Problem

• Replies: 3
• Views: 1,399
Jun 28th 2011, 08:53 AM
6. ### [SOLVED] Dirichlet Inverse Problem

• Replies: 1
• Views: 1,309
Jun 27th 2011, 11:14 PM
7. ### Guess: 2^p+3^p=a^n, then n=1 for ANY positive integer p. Can it be proved?

• Replies: 6
• Views: 875
Jun 27th 2011, 07:59 PM
8. ### [SOLVED] Remainder when large numbers divided

• Replies: 3
• Views: 3,004
Jun 27th 2011, 07:13 PM
9. ### [SOLVED] Linear Congruences

• Replies: 2
• Views: 865
Jun 26th 2011, 10:28 PM
10. ### Infinitely many primes (Riemann Zeta)

• Replies: 5
• Views: 968
Jun 22nd 2011, 09:50 PM
11. ### if (a,m)=1, then ax\equiv 1 (mod m) has a unique sol.

• Replies: 1
• Views: 755
Jun 22nd 2011, 09:05 PM
12. ### [SOLVED] if (a,n)=1 and (b,n)=1, then (ab,n)=1

• Replies: 1
• Views: 379
Jun 22nd 2011, 03:15 AM
13. ### [SOLVED] if (a,b)=1 and (b,c)=1, then (a,c)=1

• Replies: 1
• Views: 349
Jun 21st 2011, 01:19 PM
14. ### Prove: GCD(GCF) of (a,b) * LCM (a,b) = product a*b

• Replies: 1
• Views: 1,783
Jun 20th 2011, 04:47 PM
15. ### Help finding an ax+by=c equation's integer solution

• Replies: 8
• Views: 1,063
Jun 20th 2011, 12:52 PM
16. ### Show that 1 is a positive number

• Replies: 14
• Views: 848
Jun 20th 2011, 09:57 AM
17. ### Fibonacci sequence divisibility proof

• Replies: 4
• Views: 2,706
Jun 20th 2011, 05:46 AM
18. ### How many divisors does the product have?

• Replies: 3
• Views: 663
Jun 19th 2011, 11:43 PM
19. ### 2 Quadratic Reciprocity Proofs

• Replies: 1
• Views: 560
Jun 19th 2011, 05:56 PM
20. ### Prove that if n>=2 and not prime, then n has a prime divisor p<=(sq.root)n

• Replies: 1
• Views: 1,039
Jun 19th 2011, 01:56 PM
21. ### Finding a perfect square

• Replies: 3
• Views: 1,057
Jun 19th 2011, 01:09 PM
22. ### [SOLVED] Congruence Problem

• Replies: 1
• Views: 737
Jun 18th 2011, 10:23 PM
23. ### [SOLVED] Question about Linear Congruences

• Replies: 2
• Views: 499
Jun 18th 2011, 12:10 PM
24. ### gcd in F5

• Replies: 2
• Views: 379
Jun 16th 2011, 08:47 PM
25. ### Find integer solutions to 1/x + 1/y = 1/14

• Replies: 3
• Views: 4,628
Jun 16th 2011, 01:16 PM
26. ### [SOLVED] modulo inverse

• Replies: 3
• Views: 579
Jun 16th 2011, 10:52 AM
27. ### [SOLVED] When p is a prime prove that p | {p \choose k}

• Replies: 3
• Views: 616
Jun 16th 2011, 07:38 AM
28. ### some of congruence problems

• Replies: 2
• Views: 732
Jun 16th 2011, 05:28 AM

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