Mathematics projects by John Blythe Dobson
Research

On Lerch’s formula for the Fermat quotient
[arXiv:1103.3907]  On Eisenstein's formula for the Fermat quotient [arXiv:1207.5831]
 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]. 
A characterization of WilsonLerch primes
Integers 16 (2016), article no. A51, available free online at http://www.integersejcnt.org/q51/q51.mail.html [PDF].  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].
 On the special harmonic numbers H_{⌊p/9⌋} and H_{⌊p/18⌋} modulo p [arXiv:2302.02027]
Exposition

A note on the two known Wieferich Primes
(added 2 August 2007) 
Theorems on Wieferich Primes
(added 4 October 2014)