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【答案】应助回帖
Mozgovaja, L. I.; Ačilov, H.
Generalized Clement-Tkačev theorems on the primality of a pair of natural numbers. (Russian. Uzbek summary)
Dokl. Akad. Nauk UzSSR 1967, no. 4, 3–5.
10A25
A result of V. F. Tkačev [Uspehi Mat. Nauk 20 (1965), no. 4 (124), 174–175; MR0183679; erratum, MR 32, p. 1754] is generalized to yield a criterion for n+1 integers p,p+k1,⋯,p+kn to be primes simultaneously, where 2≤k1<⋯<kn. The case n=1 yields Tkačev's theorem, although in a form more general than the one in the paper cited. |
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