Pampena's Prime

Pampena's Prime is equal to \(10^{506}-10^{253}-1\).Glitch Primes and Cyclops Numbers - Numberphile It is a a special type of prime number such that the entire prime is is formed with a concatenation of the same digit, save for a different digit in the middle of the number. It has gained notoriety due to the fact it was mentioned in a Numberphile video by mathematician Simon Pampena.
== Decimal representation ==
The decimal representation of Pampena's Prime is as follows (with the 8 appearing in the middle bolded):
== Approximate size ==
Pampena's Prime is almost equal in size to one hundred censeptensexagintillion, or roughly a googol to the fifth power. In order to comprehend the scope of this number, one must construct a fifth dimensional hyper-cube such that each side has a googol smaller hyper-cubes, then multiply this construction by a million.
Notation 	Lower bound 	Upper bound
Scientific notation 	\(9.999\times10^{505}\) 	\(1\times10^{506}\)
Arrow notation 	\(114\uparrow246\) 	\(10\uparrow506\)
Steinhaus-Moser Notation 	216[3] 	217[3]
Copy notation 	8[506] 	9[506]
Taro's multivariable Ackermann function	A(3,1677) 	A(3,1678)
Pound-Star Notation 	#*((69))*14 	#*((70))*14
BEAF 	{114,246} 	{10,506}
Hyper-E notation 	9E505 	E506
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)[8976] 	(0)(0)(0)(0)(0)(0)(0)[8977]
Hyperfactorial array notation 	255! 	256!
Fast-growing hierarchy 	\(f_2(1670)\) 	\(f_2(1671)\)
Hardy hierarchy 	\(H_{\omega^2}(1670)\) 	\(H_{\omega^2}(1671)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega2+86}53}(87)\)	\(g_{\omega^{\omega^25+6}}(10)\)
== Sources ==
Category:Prime numbers
Category:Class 2
Category:Numbers
Category:Numbers with 101 to 999 digits