Ferrier's prime is \((2^{148}+1)/17 = 20,988,936,657,440,586,486,151,264,256,610,222,593,863,921\).[1][2] Discovered by Aimé Ferrier in 1951, it was the largest known prime at the time of discovery.[3]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(2.098\times10^{43}\) | \(2.099\times10^{43}\) |
| Arrow notation | \(54\uparrow25\) | \(5\uparrow62\) |
| Steinhaus-Moser Notation | 29[3] | 30[3] |
| Copy notation | 1[44] | 2[44] |
| Taro's multivariable Ackermann function | A(3,140) | A(3,141) |
| Pound-Star Notation | #*(2,1,3,3)*9 | #*(5,0,6,3,5)*6 |
| BEAF | {54,25} | {5,62} |
| Hyper-E notation | 2E43 | E[5]62 |
| Bashicu matrix system | (0)(0)(0)(0)[510] | (0)(0)(0)(0)[511] |
| Hyperfactorial array notation | 37! | 38! |
| Fast-growing hierarchy | \(f_2(136)\) | \(f_2(137)\) |
| Hardy hierarchy | \(H_{\omega^2}(136)\) | \(H_{\omega^2}(137)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega2+3}15}(16)\) | \(g_{\omega^{24}10}(58)\) |
Sources[]
- ↑ Hardy, G. H. and Wright, E. M. (1979) An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, pp. 16-22.
- ↑ Weisstein, E. W. Ferrier's Prime MathWorld - A Wolfram Web Resource.
- ↑ The Largest Known Prime by Year: A Brief History. Retrieved 2017-11-04.