Claims

../

1958_01_01_schinzel_sierpinski: Schinzel and Sierpiński's 1958 paper derives from Hypothesis H that for every k there are infinitely many progressions of k consecutive primes; the hypothesis is unproven, so the page derives nothing for the standing.

2001_11_28_dubner_forbes_lygeros_mizony_nelson_zimmermann: Dubner, Forbes, Lygeros, Mizony, Nelson and Zimmermann report ten consecutive primes in arithmetic progression, which answers the problem yes for every k from 3 to 10; refereed in Math. Comp. 71 (2002).

---