PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (236)
Orphanage
Unclass'd (1)
Unproven (540)
Corrections (46)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Copyright
About
References to 'fundamental theorem of arithmetic'
1. Achilles number by PrimeFan
2. additive function by Wkbj79
3. All unnatural square roots are irrational by ubershmekel
4. alternative proof of Euclid's lemma by alozano
5. an outline of Hilbert's programme by gribskoff
6. any nonzero integer is quadratic residue by pahio
7. arithmetic by PrimeFan
8. Blum number by PrimeFan
9. Brun's pure sieve by bbukh
10. Burnside $p$-$q$ theorem by yark
11. Carl Pomerance by PrimeFan
12. central binomial coefficient by rspuzio
13. colossally abundant number by CompositeFan
14. converse of Wilson's theorem by PrimeFan
15. de Polignac's formula by PrimeFan
16. decimal expansion by pahio
17. determination of abundant numbers with specified prime factors by rspuzio
18. determination of even abundant numbers with one odd prime factor by rspuzio
19. divisibility of central binomial coefficient by rspuzio
20. divisibility of nine-numbers by pahio
21. divisor function is multiplicative, the by yark
22. equidigital number by PrimeFan
23. Erd\H{o}s-Selfridge classification of primes by PrimeFan
24. Erd\H{o}s-Woods number by PrimeFan
25. Euclid's lemma proof by akrowne
26. Euler phi at a product by pahio
27. Euler product by bbukh
28. Euler product formula by pahio
29. even number by mathcam
30. example of gcd by pahio
31. example of well-founded induction by CWoo
32. examples of ranges of consecutive integers for Erd\H{o}s-Woods numbers by PrimeFan
33. extravagant number by PrimeFan
34. fixed-point arithmetic by PrimeFan
35. formula for sum of divisors by rspuzio
36. Fortune's conjecture by PrimeFan
37. frugal number by PrimeFan
38. fundamental theorem of arithmetic, proof of the by mps
39. Gauss's lemma I by bshanks
40. Gauss, Carl Friedrich by mathwizard
41. Giuga number by Mravinci
42. Goldbach's conjecture by drini
43. googol by Mathprof
44. if $\mu(n) = (-1)^{\omega(n)}$ then $\tau(n) = 2^{\omega(n)}$ by 1and2and4
45. implications of having divisor theory by pahio
46. integer factorization by PrimeFan
47. least common multiple by pahio
48. Leonardo da Pisa by Mravinci
49. Lucas-Carmichael number by PrimeFan
50. Mayan math by milogardner
51. multiplicative function by Wkbj79
52. multiply perfect number by CompositeFan
53. M\"obius function by mps
54. normalizing reduction by CWoo
55. number of (nondistinct) prime factors function by Wkbj79
56. number of distinct prime factors function by CompositeFan
57. parity of $\tau$ function by pahio
58. partial fractions by pahio
59. Poulet number by CompositeFan
60. Pratt certificate by PrimeFan
61. primary decomposition theorem by CWoo
62. primary pseudoperfect number by CompositeFan
63. primefree sequence by CompositeFan
64. primitive semiperfect number by Mravinci
65. probable prime by PrimeFan
66. proof of Cauchy's theorem by yark
67. proof of Wilson's theorem using the Wilson quotient by PrimeFan
68. proof that $n^2-n+41$ is prime for $0\leq n\leq 40$ by rm50
69. proof that $\sqrt{2}$ is irrational by Wkbj79
70. proof that $\tau(n)$ is the number of positive divisors of $n$ by Wkbj79
71. proof that countable unions are countable by Koro
72. proof that there are infinitely many primes using the Mersenne primes by PrimeFan
73. P\'olya's conjecture by PrimeFan
74. rational Briggsian logarithms of integers by pahio
75. rough number by PrimeFan
76. Ruth-Aaron pair by CompositeFan
77. smooth number by CompositeFan
78. strong prime by PrimeFan
79. structure of $(\mathbb{Z}/n\mathbb{Z})^{\times}$ as an abelian group by rm50
80. St{\o}rmer number by PrimeFan
81. supernatural number by mathcam
82. table of factors of small Mersenne numbers by PrimeFan
83. table of integer factorizations for $0 < n < 1001$ by PrimeFan
84. table of values of the Liouville function and its summatory function by PrimeFan
85. table of values of the M\"obius function and the Mertens function by PrimeFan
86. the Cartesian product of a finite number of countable sets is countable by BenB
87. theorem on multiples of abundant numbers by CompositeFan
88. there are an infinite number of primes $\equiv \pm 1\pmod 4$ by rm50
89. there is a unique reduced form of discriminant $-4n$ only for $n=1,2,3,4,7$ by rm50
90. trial division by CompositeFan
91. uniqueness of Moebius function by mathcam
92. unitary perfect number by CompositeFan
93. unusual number by PrimeFan
94. well-founded induction by ratboy
95. wheel factorization by PrimeFan
96. WLOG by akrowne
97. Zeisel number by CompositeFan