Using Pari/gp (< 1s) gp > isprime(2*(10^11-1)/9+7*10^10+7*10^5+7) %1 = 1
Using Pari/gp (< 1s) gp > isprime(2*(10^19-1)/9+7*10^18+7*10^9+7) %1 = 1
Using Pari/gp (< 1s) gp > isprime(2*(10^55-1)/9+7*10^54+7*10^27+7) %1 = 1
Using Pari/gp (time = 2,094 ms) gp > default(parisizemax,"1G") gp > isprime(2*(10^407-1)/9+7*10^406+7*10^203+7) %1 = 1
C:\pfgw>pfgw64 -q"2*(10^4139-1)/9+7*10^4138+7*10^2069+7" PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11] 2*(10^4139-1)/9+7*10^4138+7*10^2069+7 is 3-PRP! (0.0836s+0.0007s)
C:\pfgw>pfgw64 -q"2*(10^12751-1)/9+7*10^12750+7*10^6375+7" PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11] 2*(10^12751-1)/9+7*10^12750+7*10^6375+7 is 3-PRP! (0.8555s+0.0007s)
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