Title 
Author 
Type 
Date 
Words 
Balancing nonWieferich primes in arithmetic progression and abc conjecture. 
Rout, Sudhansu Sekhar 
Report 
Sep 1, 2016 
3240 
The Goldbach conjecture: Why is it difficult? 
Turner, Paul 
Essay 
Jul 1, 2016 
3701 
Peculiar pattern pops up in primes: final digit in consecutive numbers is not random. 
Ehrenberg, Rachel 

Apr 16, 2016 
601 
Real abelian fields satisfying the HilbertSpeiser condition for some small primes p. 
Ichimura, Humio 
Report 
Jan 1, 2016 
3304 
The Riemann zeta zeros from an asymptotic perspective. 
Grant, Ken 
Report 
Jul 1, 2015 
3143 
On shifted primes with large prime factors and their products. 
Luca, Florian; Menares, Ricardo; PizarroMadariaga, Amalia 
Report 
Jan 1, 2015 
2922 
Prime clusters may go all the way: major advance made toward proving legendary conjectures. 
Mackenzie, Dana 

Jan 11, 2014 
873 
21 Progress made toward twin prime proof: surprising advance sparks flurry of work on mathematical conjecture. 
Mackenzie, Dana 
Brief article 
Dec 28, 2013 
341 
Twin primes. 
Harris, David 
Brief article 
Oct 19, 2013 
173 
Prime explorations with Mathematica. 
LeighLancaster, David 
Report 
Sep 22, 2013 
2882 
There are infinitely many sets of Nodd prime numbers and pairs of consecutive odd prime numbers. 
Tianshu, Zhang 
Report 
May 1, 2013 
5577 
Weakly prime ideals in nearrings. 
Dheena, P.; Elavarasan, B. 
Report 
Feb 1, 2013 
2241 
A note on the relative class number of the cyclotomic [Z.sub.p]extension of Q([square root of p]). 
Ichimura, Humio; Nakajima, Shoichi 
Report 
Jan 1, 2012 
3964 
Application of new classes of Mersenne primes for fast modular reduction for largeinteger multiplication. 
Sreehari, Suhas; Wu, Huapeng; Ahmadi, Majid 
Report 
Jan 1, 2012 
3176 
Primes of the form [2.sup.[alpha]]p [+ or ] 1 with maximal rank of apparition in the Lehmer sequences. 
Jaroma, John H. 
Report 
Aug 1, 2011 
1362 
Big prime hunters. 
Prochazka, Helen 
Brief article 
Jun 22, 2010 
267 
On the Smarandache prime part sequences and its two conjectures. 
Yu, Yahui; Cai, Lixiang 
Report 
Sep 1, 2008 
1243 
One problem related to the Smarandache quotients. 
Qi, Xiaojun 
Report 
Sep 1, 2008 
762 
One problem related to the Smarandache function. 
Qin, Wei 
Report 
Sep 1, 2008 
1129 
Prime numbers. 
de Mestre, Neville 

Jun 22, 2008 
1362 
A new critical method for twin primes. 
Li, Fanbei 
Report 
Jun 1, 2008 
1385 
On two conjectures by K. Kashihara on prime numbers. 
Sandor, Jozsef 
Report 
Jun 1, 2008 
791 
On certain equations involving the Smarandache doublefactorial function. 
Wang, Xiaoying 
Report 
Jan 1, 2008 
1391 
A note on certain EulerMascheroni type sequences. 
Sandor, Jozsef 
Report 
Jan 1, 2008 
782 
A problem related to twin primes. 
Li, Jianghua 
Report 
Jan 1, 2008 
1072 
On the mean value of the Smarandache LCM function. 
Lin, Cheng 
Report 
Dec 1, 2007 
1246 
Four problems related to the PseudoSmarandacheSquarefree function. 
Wenji, Guan 
Report 
Dec 1, 2007 
1200 
A miscellaneous remark on problems involving Mersenne primes. 
Gonzalez, Juan Lopez 
Brief article 
Dec 1, 2007 
294 
Subselfconformal sets. 
Liu, Hui 
Report 
Dec 1, 2007 
4059 
The Smarandache P and S persistence of a prime. 
Russo, Felice 

Jan 1, 2006 
1343 
Problems with primes. 
Melrose, Tim; Scott, Paul 

Sep 22, 2005 
2055 
Some interesting properties of the Smarandache function. 
Kang, Xiaoyu 

Jun 1, 2005 
963 
The classical Smarandache function and a formula for twin primes. 
Mehendale, Dhananjay P. 

Jun 1, 2005 
665 
Recursive palindromic Smarandache values. 
Earls, Jason 

Jun 1, 2005 
555 
New largest prime discovered. 

Brief Article 
Mar 19, 2005 
268 
On a new class of Smarandache prime numbers. 
Earls, Jason 

Jan 1, 2005 
621 
Is there a greater role for prime numbers in our schools? 
Cairns, Grant 

Jan 1, 2005 
5910 
Uncovering a prime failure. (Mathematics). 

Brief Article 
May 31, 2003 
287 
Mathematicians mind the gap. (Prime Finding). 
Klarreich, E. 

Mar 29, 2003 
568 
Prime pursuit: constructing an efficient prime number detector. 
Peterson, Ivars 

Oct 26, 2002 
1632 
Searchers capture a champion megaprime. (Science News of the week). 
Peterson, I. 
Brief Article 
Dec 15, 2001 
358 
Prime conjecture verified to new heights. 
Peterson, I. 
Brief Article 
Aug 12, 2000 
504 
Owners of home computers join researchers in cracking problems and crunching data. 
PETERSON, IVARS 

Mar 4, 2000 
1893 
The scarcity of cluster primes. 
I.P. 
Brief Article 
Feb 6, 1999 
304 
Calculating a record prime. 
Peterson, Ivars 
Brief Article 
Feb 21, 1998 
326 
Zeroing in on an infinite number of primes. 
Peterson, Ivars 

Jan 3, 1998 
709 
Lucky choice turns up worldrecord prime. 
Petersin, Ivars 
Brief Article 
Sep 13, 1997 
409 
Ryan's primes. 
Juraschek, Bill; Evans, Amy S. 

May 1, 1997 
1813 
Progressing to a set of consecutive primes. 
Lipkin, Richard 
Brief Article 
Sep 9, 1995 
476 
On Ext to the 2nd of motives over arithmetic curves. 
Deninger, Christopher; Nart, Enric 

Jun 1, 1995 
6962 
The action of the Morava stabilizer group on the LubinTate moduli space of lifts. 
Devinatz, Ethan S.; Hopkins, Michael J. 

Jun 1, 1995 
14624 
Goldbach's conjecture. 
Asimov, Isaac 
Reference Source 
Jan 1, 1994 
278 
Diatonic interval cycles and hierarchical structure. 
Clough, John 

Jan 1, 1994 
10488 
Dubner's primes: searching for twin primes and other denizens of the number world. 
Peterson, Ivars 

Nov 20, 1993 
981 
Primality tests: an infinity of exceptions. 
Peterson, Ivars 

Sep 19, 1992 
738 
Striking pay dirt in primenumber terrain. 
Peterson, Ivars 

Apr 4, 1992 
645 
Fermatnumber factors. 


Jun 23, 1990 
289 
Computing a prime champion. 


Sep 16, 1989 
235 
Priming for a lucky strike. 
Peterson, I. 

Feb 6, 1988 
416 
Prime time for supercomputers. 
Peterson, Ivars 

Sep 28, 1985 
422 
Uncommon factoring; new computing machines and new algorithms are speeding up the factoring of large numbers. 
Peterson, Ivars 

Mar 30, 1985 
1742 