Mathematics projects by John Blythe Dobson
Research

On square divisors of Mersenne numbers
(added 12 August 2007) 
On square divisors of Mersenne numbers, II
(added 21 June 2008) 
On Lerch’s formula for the Fermat quotient
[arXiv:1103.3907]  On Eisenstein's formula for the Fermat quotient [arXiv:1207.5831]

A characterization of WilsonLerch primes
Integers 16 (2016), article no. A51, available free online at http://www.integersejcnt.org/q51/q51.mail.html [PDF].  Extended calculations of a special Harmonic number [arXiv:1402.5680]

On the Andrews congruence for the Fibonacci quotient
(added 21 May 2014)
Published version: Fibonacci Quarterly 52 (2014): 314–317, available online to subscribers at http://www.fq.math.ca/Papers/524/Dobson07072014.pdf [PDF] (will be available in open access 60 months from publication date)  Calculations relating to some special Harmonic numbers [arXiv:1501.05075]
 A matrix variation on Ramus's identity for lacunary sums of binomial coefficients, International Journal of Mathematics and Computer Science 12 (2017): 27–42, available free online at http://ijmcs.futureintech.net/12.1/RDobson.pdf [PDF].
Exposition

A note on the two known Wieferich Primes
(added 2 August 2007) 
A survey of Fermatquotient congruences of Eisenstein’s type
(added 7 October 2007) 
On some Fermatquotient congruences
(added 7 October 2007) 
Theorems on Wieferich Primes
(added 4 October 2014)