User contributions for Vipul

02:1802:18, 7 April 2009 diff hist +1,075‎ N Heath-Brown's conjecture on the first Dirichlet prime ‎ Created page with '{{primes in arithmetic progressions conjecture}} ==Statement== ===Quick statmeent=== The first Dirichlet prime in any relatively prime congruence class modulo <math>D</math> i...'
02:1102:11, 7 April 2009 diff hist +150‎ Chowla's conjecture on the first Dirichlet prime ‎No edit summary
02:1002:10, 7 April 2009 diff hist +524‎ Chowla's conjecture on the first Dirichlet prime ‎No edit summary
02:0702:07, 7 April 2009 diff hist +62‎ N Chowla's conjecture ‎ moved Chowla's conjecture to Chowla's conjecture on the first Dirichlet prime current
02:0702:07, 7 April 2009 diff hist 0‎ m Chowla's conjecture on the first Dirichlet prime ‎ moved Chowla's conjecture to Chowla's conjecture on the first Dirichlet prime
02:0702:07, 7 April 2009 diff hist +937‎ N Chowla's conjecture on the first Dirichlet prime ‎ Created page with '{{primes in arithmetic progressions conjecture}} ==Statement== For any <math>\epsilon > 0</math>, there exists a constant <math>C</math> such that the following holds: Suppose...'
01:5801:58, 7 April 2009 diff hist +858‎ N Cramér's prime gap conjecture ‎ Created page with '{{prime gap conjecture}} ==Statement== This conjecture states that the prime gap between a prime <math>p</math> and the next prime is <math>O((\log p)^2)</math>. In other w...' current
01:5201:52, 7 April 2009 diff hist +500‎ N Prime-between-squares conjecture ‎ Created page with '{{prime gap conjecture}} ==Statement== This conjecture states that for any natural number <math>n</math>, there exists a prime number <math>p</math> such that: <math>n...' current

22:5422:54, 6 April 2009 diff hist +91‎ Goldbach's conjecture ‎No edit summary
22:5222:52, 6 April 2009 diff hist +854‎ N Weak Goldbach conjecture ‎ Created page with '==Statement== The conjecture states that every odd integer greater than <math>5</math> is expressible as a sum of three primes (where two or more of the primes are possibly equa...'
22:4922:49, 6 April 2009 diff hist +265‎ Goldbach's conjecture ‎ →‎Relation with other facts and conjectures
22:4722:47, 6 April 2009 diff hist +1,170‎ N Goldbach's conjecture ‎ Created page with '{{additive partition conjecture}} ==Statement== The conjecture has the following equivalent forms: * Every even integer greater than <math>2</math> is expressible as a sum of ...'
22:3822:38, 6 April 2009 diff hist +64‎ Carmichael number ‎No edit summary
22:3722:37, 6 April 2009 diff hist +31‎ N Absolute pseudoprime ‎ moved Absolute pseudoprime to Carmichael number current
22:3722:37, 6 April 2009 diff hist 0‎ m Carmichael number ‎ moved Absolute pseudoprime to Carmichael number
22:3722:37, 6 April 2009 diff hist +289‎ N Infinitude conjecture for Mersenne primes ‎ Created page with '{{infinitude conjecture|Mersenne prime}} ==Statement== The conjecture is that there are infinitely many Mersenne primes, i.e., primes of the form <math>M_p = 2^p - 1</math>...' current
22:3522:35, 6 April 2009 diff hist +602‎ N Infinitude conjecture for regular primes ‎ Created page with '{{infinitude conjecture|regular prime}} ==Statement== The conjecture is that there exist infinitely many regular primes. A regular prime is a prime for which the correspond...' current
22:3122:31, 6 April 2009 diff hist +356‎ N Template:Infinitude conjecture ‎ Created page with '{{quotation|''This article states a conjecture about there existing infinitely many of the following numbers/structures: [[fact about::{{{1}}}]]''<br>[[:Category:Infinitude conje...' current
22:3022:30, 6 April 2009 diff hist +12‎ Twin prime conjecture ‎No edit summary
22:2922:29, 6 April 2009 diff hist +26‎ Twin prime conjecture ‎No edit summary
22:2822:28, 6 April 2009 diff hist +790‎ Bertrand's postulate ‎No edit summary current
22:2022:20, 6 April 2009 diff hist +333‎ N Bertrand's postulate ‎ Created page with '{{prime gap fact}} ==Statement== Let <math>n</math> be a natural number greater than <math>1</math>. Then, there exists a prime number <math>p</math> such that <math>n < p ...'
22:1822:18, 6 April 2009 diff hist +1,203‎ N Twin prime conjecture ‎ Created page with '{{prime gap conjecture}} ==Statement== There are infinitely many fact about::twin primes. In other words, there are infinitely many odd primes <math>p</math> such that <mat...'
22:1022:10, 6 April 2009 diff hist +254‎ N Twin primes ‎ Created page with '==Definition== The term '''twin primes''' is used for a pair of odd prime numbers that differ by two. In other words, primes <math>p, p + 2</math> are termed twin primes. The [...'

23:5023:50, 21 March 2009 diff hist +210‎ N Semiprime ‎ Created page with '{{natural number property}} ==Definition== A '''semiprime''' is a composite natural number that is the product of two (possibly equal) primes. In other words, a semiprime i...'
23:4823:48, 21 March 2009 diff hist +670‎ N Pseudoperfect number ‎ Created page with '{{natural number property}} ==Definition== A '''pseudoperfect number''' is a natural number <math>n</math> such that <math>n</math> equals the sum of a subset of the set of...'
23:4523:45, 21 March 2009 diff hist +257‎ Perfect number ‎ →‎Relation with other properties current
23:4423:44, 21 March 2009 diff hist +664‎ N Deficient number ‎ Created page with '{{natural number property}} ==Definition== A natural number <math>n</math> is termed a '''deficient number''' if <math>\sigma(n) < 2n</math>, where <math>\sigma</math> deno...' current
23:2423:24, 21 March 2009 diff hist +529‎ N Abundant number ‎ Created page with '{{natural number property}} ==Definition== A natural number <math>n</math> is termed an '''abundant number''' if <math>\sigma(n) > 2n</math>. Here, <math>\sigma</math> deno...' current
23:2123:21, 21 March 2009 diff hist +360‎ N Strongly smooth number ‎ Created page with '{{size measure on natural number}} ==Definition== A natural number <math>n</math> is termed '''strongly <math>k</math>-smooth''' for some natural number <math>k</math> if e...'
23:2023:20, 21 March 2009 diff hist +337‎ N Smooth number ‎ Created page with '{{size measure on natural number}} ==Definition== A natural number <math>n</math> is termed <math>k</math>-smooth for some natural number <math>k</math> if every [[prime di...'
23:1823:18, 21 March 2009 diff hist +177‎ Perfect number ‎No edit summary
23:1623:16, 21 March 2009 diff hist +691‎ N Perfect number ‎ Created page with '{{natural number property}} ==Definition== A natural number <math>n</math> is termed a '''perfect number''' if <math>\sigma(n) = 2n</math>, where <math>\sigma</math> denote...'
23:1323:13, 21 March 2009 diff hist +8‎ Divisor sum function ‎ →‎Definition
23:0923:09, 21 March 2009 diff hist +547‎ N Divisor sum function ‎ Created page with '{{arithmetic function}} ==Definition== Let <math>n</math> be a natural number. The '''divisor sum function''' of <math>n</math>, denoted <math>\sigma(n)</math>, is defined ...'
23:0423:04, 21 March 2009 diff hist +466‎ N Poulet number ‎ Created page with '{{pseudoprimality property}} ==Definition== A '''Poulet number''' is an odd composite number <math>n</math> such that: <math>2^{n-1} \equiv 1 \mod n</math>. In other words, <...'
23:0323:03, 21 March 2009 diff hist +961‎ N Fermat pseudoprime ‎ Created page with '{{base-relative pseudoprimality property}} ==Definition== Suppose <math>n</math> is a composite natural number and <math>a</math> is relatively prime to <math>n</math>. <math>n...'
22:5822:58, 21 March 2009 diff hist +42‎ Carmichael number ‎No edit summary
22:5822:58, 21 March 2009 diff hist +479‎ N Carmichael number ‎ Created page with '{{pseudoprimality property}} ==Definition== A composite number <math>n > 1</math> is termed an '''absolute pseudoprime''' or ''Carmichael number''' if it satisfies the followin...'
22:5522:55, 21 March 2009 diff hist +532‎ N Fermat prime ‎ Created page with '{{prime number property}} ==Definition== A '''Fermat prime''' is a Fermat number that is also a prime number. In other words, it is a prime number of the form <math>F_k...'
22:5322:53, 21 March 2009 diff hist +477‎ N Mersenne prime ‎ Created page with '{{prime number property}} ==Definition== A '''Mersenne prime''' is a Mersenne number that is also a prime number. In other words, it is a number of the form <math>M_n =...'
22:4922:49, 21 March 2009 diff hist +153‎ N Sophie Germain prime ‎ Created page with '{{prime number property}} ==Definition== A '''Sophie Germain prime''' is a prime number <math>p</math> such that <math>2p + 1</math> is also prime.'

23:0423:04, 18 March 2009 diff hist +302‎ N Template:Quotation ‎ Created page with '<blockquote class="toccolours" style="float:none; padding: 10px 15px 10px 15px; display:table;"> {{{1<noinclude>| {{Lorem}}</noinclude>}}}</blockquote><noinclude>''Thi...'
23:0323:03, 18 March 2009 diff hist +238‎ N Template:Top notice ‎ Created page with '{{quotation|Welcome to '''{{fullsitetitle}}'''. The wiki has just been set up and content will be added later. It is part of a broader subject wikis initiative -- see the [[Ref:M...' current
23:0223:02, 18 March 2009 diff hist −435‎ Main Page ‎ Replaced content with '{{top notice}}' current
22:4822:48, 18 March 2009 diff hist −1‎ MediaWiki:Sitenotice ‎No edit summary
22:4522:45, 18 March 2009 diff hist +12‎ N File:Logo.jpg ‎ Logo of 4AM. current
22:3922:39, 18 March 2009 diff hist +114‎ N MediaWiki:Sitenotice ‎ New page: thumb|75px|right|[http://www.4am.co.in Visit] {{fullsitetitle}} ({{sitestatus}})
22:3722:37, 18 March 2009 diff hist +12‎ N Template:Sitestatus ‎ New page: barely begun current
22:3722:37, 18 March 2009 diff hist +30‎ N Template:Fullsitetitle ‎ New page: Number, The Number Theory Wiki current

7 April 2009

6 April 2009

21 March 2009

18 March 2009