Number Theory Forum

Number Theory Help Forum

1. Show that the nth harmonic number is not an integer

• Replies: 3
• Views: 1,714
Jun 14th 2011, 06:11 AM
2. [SOLVED] Prove that there are infinitely many primes in the form 6k+5

• Replies: 1
• Views: 1,506
Jun 13th 2011, 11:43 PM
3. [SOLVED] Greatest Common Divisor Problen: If gcd(a, b) = 1, solve gcd(a^2 + b^2, a + b)

• Replies: 3
• Views: 652
Jun 13th 2011, 05:02 PM
4. simple gcd proofs

• Replies: 6
• Views: 1,020
Jun 13th 2011, 06:30 AM
5. Cube number

• Replies: 6
• Views: 577
Jun 12th 2011, 06:45 AM
6. [SOLVED] gcd(a,b) = 1 iff no primes divide a and b

• Replies: 4
• Views: 514
Jun 12th 2011, 05:04 AM
7. [SOLVED] Golden Ratio

• Replies: 6
• Views: 670
Jun 11th 2011, 07:00 PM
8. Triangular Factorials proof

• Replies: 1
• Views: 662
Jun 9th 2011, 12:18 PM
9. Breaking a stick of lenght of power of 2

• Replies: 1
• Views: 626
Jun 8th 2011, 11:01 AM
10. congruence, relation x^2+y^2=Z^2, then 60|xyz

• Replies: 1
• Views: 843
Jun 8th 2011, 09:51 AM
11. Congruence, prime number, integer

• Replies: 1
• Views: 533
Jun 8th 2011, 09:10 AM
12. About Z as cyclic group??

• Replies: 2
• Views: 536
Jun 7th 2011, 07:06 PM
13. [SOLVED] Fibonacci Number Proof

• Replies: 3
• Views: 636
Jun 7th 2011, 08:52 AM
14. Three-digit numbers

• Replies: 0
• Views: 555
Jun 6th 2011, 11:50 PM
15. Can the ratio of a non-existent number to an imaginary number....

• Replies: 2
• Views: 664
Jun 6th 2011, 07:39 PM
16. hurwitz zeta function

• Replies: 2
• Views: 693
Jun 5th 2011, 05:59 PM
17. Finding the last two decimal places.....

• Replies: 0
• Views: 526
Jun 5th 2011, 11:46 AM
18. Fibonaci sequence terms.

• Replies: 9
• Views: 808
Jun 4th 2011, 06:32 AM
19. Sum of Reciprocal of primes

• Replies: 3
• Views: 922
Jun 3rd 2011, 08:07 AM
20. Stirling numbers - hard proofs

• Replies: 4
• Views: 795
Jun 2nd 2011, 07:03 PM
21. finding a number

• Replies: 0
• Views: 421
Jun 2nd 2011, 11:10 AM
22. [SOLVED] b=aq+r then gcd(b,a)=gcd(a,r)

• Replies: 2
• Views: 1,469
May 31st 2011, 04:30 PM
23. modulo arithmetic proof

• Replies: 1
• Views: 600
May 31st 2011, 09:27 AM
24. Remainder when dividing by 49.

• Replies: 1
• Views: 447
May 29th 2011, 04:18 PM
25. Sums, logarithms and harmonic numbers identity which I don't understand

• Replies: 2
• Views: 681
May 28th 2011, 03:34 PM
26. Is there any easy way to find the remainders of very large integer divisions?

• Replies: 15
• Views: 1,695
May 27th 2011, 10:42 PM
27. Difficult number sequences

• Replies: 4
• Views: 2,576
May 27th 2011, 06:37 PM
28. Understanding Modulo Arithmetic

• Replies: 3
• Views: 423
May 26th 2011, 03:34 PM
29. [SOLVED] gcd proof

• Replies: 2
• Views: 367
May 25th 2011, 01:59 PM
30. [SOLVED] gcd(a,b)=1 and c|a

• Replies: 3
• Views: 336
May 24th 2011, 08:20 PM

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