15 citations · 19 across the 4 of their papers we have counts for
6 papers · 1 filter
Carmichael Numbers with Prime Numbers of Prime Factors
Thomas Wright
Under the assumption of Heath-Brown's conjecture on the first prime in an arithmetic progression, we prove that there are infinitely many Carmichael numbers such that the numbe…
Prime Tuples and Siegel Zeros
Thomas Wright
Under the assumption of infinitely many Siegel zeroes with for a sufficiently large value of , we prove that there exist infinitely many …
There are infinitely many elliptic Carmichael numbers
Thomas Wright
In 1987, Dan Gordon defined an elliptic curve analogue to Carmichael numbers known as elliptic Carmichael numbers. In this paper, we prove that there are infinitely many elliptic C…
Infinitude of -Lehmer numbers which are not Carmichael
Nathan McNew, Thomas Wright
In this paper, we prove that there are infinitely many for which but is not a Carmichael number. Additionally, we prove that for any , there exist…
Variants of Korselt's Criterion
Thomas Wright
Under sufficiently strong assumptions about the first term in an arithmetic progression, we prove that for any integer , there are infinitely many such that for…
Infinitely Many Carmichael Numbers in Arithmetic Progressions
Thomas Wright
In this paper, we prove that for any with , there are infinitely many Carmichael numbers such that mod