On the lcm of the differences of eight primes

François Morain

doi:10.1090/S0025-5718-1989-0971409-6

On the lcm of the differences of eight primes

François Morain

Limoges University

Research output: Contribution to journal › Article › peer-review

Abstract

Following C. A. Spiro, who has found eight primes for which lcm(p_j- p_i)_{1≤i≤j≤8}= 5040, we show that for every set of eight odd primes (q₁., q₈), one has 5040 lcm(q_j- q_i). Moreover, lcm(q_j- q_i) = 5040 infinitely often, under the assumption of the 8-tuple conjecture.

Original language	English
Pages (from-to)	225-229
Number of pages	5
Journal	Mathematics of Computation
Volume	52
Issue number	185
DOIs	https://doi.org/10.1090/S0025-5718-1989-0971409-6
Publication status	Published - 1 Jan 1989
Externally published	Yes

Access to Document

10.1090/S0025-5718-1989-0971409-6

Cite this

@article{5d0a3183161046bcbbcddfa0217bb744,

title = "On the lcm of the differences of eight primes",

abstract = "Following C. A. Spiro, who has found eight primes for which lcm(pj- pi)1≤i≤j≤8= 5040, we show that for every set of eight odd primes (q1., q8), one has 5040 lcm(qj- qi). Moreover, lcm(qj- qi) = 5040 infinitely often, under the assumption of the 8-tuple conjecture.",

author = "Fran{\c c}ois Morain",

year = "1989",

month = jan,

day = "1",

doi = "10.1090/S0025-5718-1989-0971409-6",

language = "English",

volume = "52",

pages = "225--229",

journal = "Mathematics of Computation",

issn = "0025-5718",

number = "185",

}

TY - JOUR

T1 - On the lcm of the differences of eight primes

AU - Morain, François

PY - 1989/1/1

Y1 - 1989/1/1

N2 - Following C. A. Spiro, who has found eight primes for which lcm(pj- pi)1≤i≤j≤8= 5040, we show that for every set of eight odd primes (q1., q8), one has 5040 lcm(qj- qi). Moreover, lcm(qj- qi) = 5040 infinitely often, under the assumption of the 8-tuple conjecture.

AB - Following C. A. Spiro, who has found eight primes for which lcm(pj- pi)1≤i≤j≤8= 5040, we show that for every set of eight odd primes (q1., q8), one has 5040 lcm(qj- qi). Moreover, lcm(qj- qi) = 5040 infinitely often, under the assumption of the 8-tuple conjecture.

U2 - 10.1090/S0025-5718-1989-0971409-6

DO - 10.1090/S0025-5718-1989-0971409-6

M3 - Article

AN - SCOPUS:84966212527

SN - 0025-5718

VL - 52

SP - 225

EP - 229

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 185

ER -

On the lcm of the differences of eight primes

Abstract

Access to Document

Fingerprint

Cite this