7*(107-1)/9 - 4*106 - 4*103 - 4
Using Pari/gp (< 1s)
     gp > isprime(7*(10^7-1)/9-4*10^6-4*10^3-4)
     %1 = 1


7*(1011-1)/9 - 4*1010 - 4*105 - 4
Using Pari/gp (< 1s)
     gp > isprime(7*(10^11-1)/9-4*10^10-4*10^5-4)
     %1 = 1


7*(1097-1)/9 - 4*1096 - 4*1048 - 4
Using Pari/gp (< 1s)
     gp > isprime(7*(10^97-1)/9-4*10^96-4*10^48-4)
     %1 = 1


7*(10121-1)/9 - 4*10120 - 4*1060 - 4
Using Pari/gp (< 1s)
     gp > isprime(7*(10^121-1)/9-4*10^120-4*10^60-4)
     %1 = 1


7*(10143-1)/9 - 4*10142 - 4*1071 - 4
Using Pari/gp (< 1s)
     gp > isprime(7*(10^143-1)/9-4*10^142-4*10^71-4)
     %1 = 1


7*(10247-1)/9 - 4*10246 - 4*10123 - 4
Using Pari/gp (< 1s)
     gp > default(parisizemax,"1G")
     gp > isprime(7*(10^247-1)/9-4*10^246-4*10^123-4)
     %1 = 1


7*(10259-1)/9 - 4*10258 - 4*10129 - 4
Using Pari/gp (time = 1,078 ms)
     gp > default(parisizemax,"1G")
     gp > isprime(7*(10^259-1)/9-4*10^258-4*10^129-4)
     %1 = 1


7*(1012191-1)/9 - 4*1012190 - 4*106095 - 4
C:\pfgw>pfgw64 -q"7*(10^12191-1)/9-4*10^12190-4*10^6095-4"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

7*(10^12191-1)/9-4*10^12190-4*10^6095-4 is 3-PRP! (0.8085s+0.0003s)


7*(1017051-1)/9 - 4*1017050 - 4*108525 - 4
C:\pfgw>pfgw64 -q"7*(10^17051-1)/9-4*10^17050-4*10^8525-4"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

7*(10^17051-1)/9-4*10^17050-4*10^8525-4 is 3-PRP! (1.5467s+0.0003s)


7*(1037981-1)/9 - 4*1037980 - 4*1018990 - 4
C:\pfgw>pfgw64 -q"7*(10^37981–1)/9 – 4*10^37980 – 4*10^18990 – 4"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

7*(10^37981-1)/9 - 4*10^37980 - 4*10^18990 - 4 is 3-PRP! (8.2121s+0.0005s)
 

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Patrick De Geest - Belgium flag - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com