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Old 2020-10-21, 16:06   #43
sweety439
 
Nov 2016

281910 Posts
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Some minimal (probable) primes with bases 28<=b<=50 not shown in https://github.com/RaymondDevillers/primes: (and hence some unsolved families can be removed)

Base 37: (families FY{a} and R8{a} can be removed)

590*37^22021-1 (= FY{a_22021})
1008*37^20895-1 (= R8{a_20895})

Base 40: (family Qa{U}X can be removed)

(13998*40^12381+29)/13 (= Qa{U_12380}X)

Base 45: (families O{0}1 and AO{0}1 can be removed, and hence families O{0}1F1, O{0}ZZ1, unless they have small (probable) primes)

24*45^18522+1 (= O{0_18521}1)
474*45^44791+1 (= AO{0_44790}1) [this prime is not minimal prime]

Base 49: (families 11c{0}1, Fd{0}1, SL{m} and Yd{m} can be removed, and hence families S6L{m}, YUUd{m}, YUd{m}, unless they have small (probable) primes)

2488*49^29737+1 (= 11c{0_29736}1)
774*49^18341+1 (= Fd{0_18340}1)
1394*49^52698-1 (= SL{m_52698})
1706*49^16337-1 (= Yd{m_16337})

Last fiddled with by sweety439 on 2021-01-17 at 23:04
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