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The largest Fibonacci prime currently known as of March 2017 is F104,911, where F1 = F2 = 1. It is 21,925 digits long and was discovered in October 2015.[1]

The largest known Fibonacci prime candidate is F3,340,367, which is 698,096 digits long. It was discovered in March 2018.[2]

## Approximations

Notation Approximation
Scientific notation $$5.66\times10^{21\,924}$$
Arrow notation $$2\uparrow\uparrow5$$
BEAF $$\{2,5,2\}$$
Chained arrow notation $$2\rightarrow5\rightarrow2$$
Multivariable Ackermann $$Ack(4,2)$$
Fast-growing hierarchy $$f_2(f_2(13))$$

## Sources

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