2*(105-1)/9 + 104 + 102 + 1
Using Pari/gp (< 1s)
     gp > isprime(2*(10^5-1)/9+10^4+10^2+1)
     %1 = 1


2*(107-1)/9 + 106 + 103 + 1
Using Pari/gp (< 1s)
     gp > isprime(2*(10^7-1)/9+10^6+10^3+1)
     %1 = 1


2*(1013-1)/9 + 1012 + 106 + 1
Using Pari/gp (< 1s)
     gp > isprime(2*(10^13-1)/9+10^12+10^6+1)
     %1 = 1


2*(103809-1)/9 + 103808 + 101904 + 1
C:\pfgw>pfgw64 -q"2*(10^3809-1)/9+10^3808+10^1904+1"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

2*(10^3809-1)/9+10^3808+10^1904+1 is 3-PRP! (0.0772s+0.0003s)


2*(105909-1)/9 + 105908 + 102954 + 1
C:\pfgw>pfgw64 -q"2*(10^5909-1)/9+10^5908+10^2954+1"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

2*(10^5909-1)/9+10^5908+10^2954+1 is 3-PRP! (0.1625s+0.0003s)


2*(106829-1)/9 + 106828 + 103414 + 1
C:\pfgw>pfgw64 -q"2*(10^6829-1)/9+10^6828+10^3414+1"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

2*(10^6829-1)/9+10^6828+10^3414+1 is 3-PRP! (0.4555s+0.0004s)
 

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