@article{Song2026, 
author = {Yanbo Song},
title = {On primes of the form    ⌊  α      p    c    +  β  ⌋ for almost all    α},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {6},
pages = {15912-15925},
keywords = {prime number, Goldbach conjecture, twin prime conjecture, Selberg's sieve method, generalized Piatetski-Shapiro sequence, Beatty sequence},
url = {https://www.sciopen.com/article/10.3934/math.2026655},
doi = {10.3934/math.2026655},
abstract = {In this paper, we prove that for almost all irrational numbers    α  >  0 (in the sense of Lebesgue measure), there exist infinitely many primes    p in a Beatty sequence such that    ⌊  α      p    c    +  β  ⌋ is also a prime, where    c  ∈  (  1  ,      150    119    ).}
}