## Higher-order legions

These numbers can be defined or approximated only using higher-order analogues of legions, in which Bowers' dubbed them (from ascending order) lugions, lagions, ligions, etc. He also used the L notation to devise analogues of arbitrarily high order.

- Goshomity, {100,100 \\\\\\...\\\\\\ 2} (100 \'s)
- Good goshomity, {100,100 \\\\\\...\\\\\\ 2} (goshomity \'s)
- Great goshomity, {100,100 \\\\\\...\\\\\\ 2} (good goshomity \'s)
- Big bukuwaha, {L2,bukuwaha}
_{100,100} - Bongo bukuwaha, {L3,big bukuwaha}
_{100,100} - Quabinga bukuwaha, {L4,bongo bukuwaha}
_{100,100} - Meameamealokkapoowa, {L100,10}
_{10,10} - Meameamealokkabipoowa, {LL100,10}
_{10,10} - Meameamealokkatripoowa, {LLL100,10}
_{10,10} - Meameamealokkaquadripoowa, {LLLL100,10}
_{10,10} - Meameamealokkapoowa oompa, {LLL...LLL,10}10,10 (meameamealokkapoowa (array of) L's)

## Beyond BEAF

These numbers are currently beyond all levels of BEAF ever defined (even those not completely defined or in progress). They are the largest known computably large numbers devised. Numbers generated by Finite promise games and the Greedy clique sequence may also belong to this group.

- Loader's number, D
^{5}(99)

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