Changes: Fibonad

Revision as of 19:45, 30 May 2021

The Fibonad, coined by SuperJedi224, is equal to the 500th term in the fibonacci sequence (D being the roman numeral for 500), starting from the first one.^[1]^[2]

Its full decimal expansion is:

139,423,224,561,697,880,139,724,382,870,407,283,950,070,256,587,697,307,264,108,962,948,325,571,622,863,290,691,557,658,876,222,521,294,125

Its prime factorization is 3 × 5³ × 11 × 41 × 101 × 151 × 251 × 401 × 3001 × 570601 × 112128001 × 1353439001 × 28143378001 × 5465167948001 × 84817574770589638001 × 158414167964045700001.

Approximations

Notation	Lower bound	Upper bound
Scientific notation	\(1.394\times10^{104}\)	\(1.395\times10^{104}\)
Arrow notation	\(34\uparrow68\)	\(5\uparrow149\)
Steinhaus-Moser Notation	58[3]	59[3]
Copy notation	1[105]	2[105]
Chained arrow notation	\(34→68\)	\(5→149\)
Taro's multivariable Ackermann function	A(3,342)	A(3,343)
Pound-Star Notation	#(7,4,11,7,4,3,3)9	#(8,4,11,7,4,3,3)9
PlantStar's Debut Notation	[61]	[62]
BEAF	{34,68}	{5,149}
Hyper-E notation	E[34]68	E[5]149
Bashicu matrix system	(0)(0)(0)(0)(0)[1796]	(0)(0)(0)(0)(0)[1797]
Bird's array notation	{34,68}	{5,149}
Hyperfactorial array notation	72!	73!
Strong array notation	s(34,68)	s(5,149)
Fast-growing hierarchy	\(f_2(337)\)	\(f_2(338)\)
Hardy hierarchy	\(H_{\omega^2}(337)\)	\(H_{\omega^2}(338)\)
Slow-growing hierarchy	\(g_{\omega^{54}47}(79)\)	\(g_{\omega^{\omega+9}49}(51)\)

Sources

Astragold · Astrangold · Astreagold · Astrabigold · Astratrigold · Astratergold · Astrantergold · Astreatergold · Astreantergold · Astrex · Astrantrex · Astreatrex · Goltrex · Goltrantrex · Goltreatrex · Goltreantrex · Astruex · Astriex · Asterex · Duastrex · Duastruex · Treastrex · Terastrex · Bi-astragold · Tri-astragold · Ter-astragold

#*{}

Astuul · Grantuul · Greatuul · Greantuul · Goltuul · Golgrantuul · Golgreatuul · Astbiuul · Astriuul · Astertuul · Astrapentuul · Rexuul · Rexantuul · Rexeatuul · Rexeantuul · Golrexuul · Astuulgold · Grantuulgold · Greatuulgold · Goltuulgold · Astbiuulgold · Astriuulgold · Astuulgoltrex · Bi-astuul · Tri-astuul · Ter-astuul · Galaxiol · Bi-galaxiol · Tri-galaxiol · Cosmol · Cosmo-galaxiol · Cosmo-bi-galaxiol · Bi-cosmol · Hyperiol · Hyper-galaxiol · Hyper-cosmol · Hyper-cosmo-galaxiol · Ultrol · Ultra-galaxiol · Ultra-cosmol · Ultra-hyperiol · Bi-ultrol · Ultra-hyper-cosmo-galaxi-cosmo-hyper-ultrol · Tri-ultrol · Exitrol · Epitrol · Octrol

H#*{}

Titanicol · Grantitanicol · Greatitanicol · Goltitanicol · Titanicoltrex · Titanicolgoltrex · Titanic Astuul · Titanic Galaxiol · Titanic Cosmol · Titanic Hyperiol · Titanic Ultrol · Titaniprimol · Titaniduol · Titanitrol · Titaniterol · Titanipetol · Behemicol · Leviathol · Empiriol · Grantiriol · Greatiriol · Empirioltrex · Empiriolgold · Empiri-titanicol · Empiri-titaniprimol · Empiri-titaniduol · Empiri-titanitrol · Empiri-behemicol · Empiri-leviathol · Teratol · Petatol · Exatol · Zettatol · Yottatol · Yotta-zetta-exa-peta-tera-empiri-titaniprimol · Novettol

xH#*{}

Cthonicol · Cthonigog · Astracthonicol · Astrancthonicol · Astreacthonicol · Golcthonicol · Cthonirex · Cthonigold · Cthonigoltrex · Cthonic Ultrol · Cthonic Titanicol · Cthonic Behemicol · Cthonic Leviathol · Cthonic Empiriol · Cthonic Empiri-titaniprimol · Bi-cthonicol · Bi-cthonigog · Tri-cthonicol

#*<<>>

Cthonoliath · Cthonolligog · Astracthonoliath · Astrancthonoliath · Golcthonoliath · Rexoliath · Gaxoliath · Cosmoliath · Hypoliath · Ultroliath · Titanoliath · Behemoliath · Leviatholiath · Empiroliath · Teroliath · Petoliath · Exoliath · Zettoliath · Yottoliath · Novoliath · Cthaeliath · Cthaelligog · Cthaelidor · Cthaelitror · Cthaeliteror · Bi-cthonoliath · Tri-cthonoliath · Cthonulor · Cthonulortrius · Cthonulorterterus · Cthaeliterator · Legioliath · Legiolirexus · Legiolaureus · Legiulor · Legiodeuteror · Legiulortrius · Legiulorterterus · Deuteroliath · Tritoliath · Tertoliath

H#*<<>>

Terribulus · Rexulus · Terribulor · Terriburex · Terribulaureus · Terribuul · Terrigalaxus · Terricosmos · Terrihyperol · Terrultrol · Territitan · Cthonulus · Terrilegion · Grand Terribulus · Grand Terrilegion · Grand Grand Terribulus

Steinhaus-Moser Notation

Triangol · Big Box · Great Big Box

Bingol series

Bingol · Terngol · Quaterngol · Pentengol · Decigol · Vigesigol · Centengol

Based on the Faxul

Primofaxul · Minor Faxul

Other factorials

Myriaexpobang · Myriatetratobang · Myriofact · Myriodufact · Myriotrefact · Myrioterfact · Myriad Myriofact

Googovipleccix family

Googovipleccix · Googovipleccic · Googocciplemic

Graham Sequence Numbers

Deutero-Grahal · Trito-Grahal · Terto-Grahal

-Illion numbers

Level One

Sesquillion · Tre-bitillion · Ter-bitillion · Tre-tritillion · Pen-bitillion · Ex-bitillion · Ter-tritillion · Epi-bitillion · Bi-exitillion · En-bitillion · Ex-tritillion · Dek-bitillion · Epi-tritillion · Tre-exitillion · Oct-tritillion · En-tritillion · Ter-exitillion · Pen-exitillion

Level Three

Exitrillion · Exiterillion · Bi-exiterillion · Tre-exiterillion · Exipetillion · Exitexillion · Exitepillion · Exitokillion · Exinovillion

Level Four

Hyperillion · Exi-hyperillion · Icosi-hyperillion · Cent-hyperillion

Level Five

Grand Hyperillion · Grand-exi-hyperillion · Grand-icosi-hyperillion · Bigrand Hyperillion · Bigrand-exi-hyperillion · Bigrand-icosi-hyperillion · Trigrand Hyperillion

Level Six

Hyperduillion · Exi-hyperduillion · Grand Hyperduillion · Bigrand Hyperduillion · Hypertrillion · Hyperterillion · Hyperpetillion

Level Seven

Hyperhypillion · Exi-hyperhypillion · Grand Hyperhypillion · Bigrand Hyperhypillion · Great Hyperhypillion · Great Exi-hyperhypillion · Great Cent-hyperhypillion

X-Sequence Hyper-Exponential Notation

[1] Naming Large Fibonacci Numbers

[2] Fibonad

[1]

[2]

@@ Line 1: / Line 1: @@
-The''' Fibonad''', coined by SuperJedi224, is equal to the 500th term in the fibonacci sequence (D being the roman numeral for 500), starting from the first one.
+The''' Fibonad''', coined by SuperJedi224, is equal to the 500th term in the fibonacci sequence (D being the roman numeral for 500), starting from the first one.<ref>[https://sites.google.com/site/sjpgoogol/fibonacci-numbers Naming Large Fibonacci Numbers]</ref><ref>[https://sites.google.com/site/sjpgoogol/fibonacci-numbers/fibonad Fibonad]</ref>
 Its full decimal expansion is:
@@ Line 6: / Line 6: @@
 Its prime factorization is 3 × 5<sup>3</sup> × 11 × 41 × 101 × 151 × 251 × 401 × 3001 × 570601 × 112128001 × 1353439001 × 28143378001 × 5465167948001 × 84817574770589638001 × 158414167964045700001.
+== Approximations ==
+{| border="0" cellpadding="1" cellspacing="1" class="article-table"
+|-
+! scope="col"|Notation
+! scope="col"|Lower bound
+! scope="col"|Upper bound
+|-
+|[[Scientific notation]]
+|\(1.394\times10^{104}\)
+|\(1.395\times10^{104}\)
+|-
+|[[Arrow notation]]
+|\(34\uparrow68\)
+|\(5\uparrow149\)
+|-
+|[[Steinhaus-Moser Notation]]
+|58[3]
+|59[3]
+|-
+|[[Copy notation]]
+|1[105]
+|2[105]
+|-
+|[[Chained arrow notation]]
+|\(34→68\)
+|\(5→149\)
+|-
+|[[Taro's multivariable Ackermann function]]
+|A(3,342)
+|A(3,343)
+|-
+|[[Pound-Star Notation]]
+|#*(7,4,11,7,4,3,3)*9
+|#*(8,4,11,7,4,3,3)*9
+|-
+|[[PlantStar's Debut Notation]]
+|[61]
+|[62]
+|-
+|[[BEAF]]
+|{34,68}
+|{5,149}
+|-
+|[[Hyper-E notation]]
+|E[34]68
+|E[5]149
+|-
+|[[Bashicu matrix system]]
+|(0)(0)(0)(0)(0)[1796]
+|(0)(0)(0)(0)(0)[1797]
+|-
+|[[Bird's array notation]]
+|{34,68}
+|{5,149}
+|-
+|[[Hyperfactorial array notation]]
+|72!
+|73!
+|-
+|[[Strong array notation]]
+|s(34,68)
+|s(5,149)
+|-
+|[[Fast-growing hierarchy]]
+|\(f_2(337)\)
+|\(f_2(338)\)
+|-
+|[[Hardy hierarchy]]
+|\(H_{\omega^2}(337)\)
+|\(H_{\omega^2}(338)\)
+|-
+|[[Slow-growing hierarchy]]
+|\(g_{\omega^{54}47}(79)\)
+|\(g_{\omega^{\omega+9}49}(51)\)
+|}
 ==Sources==
+<references/>
-Source: [https://sites.google.com/site/sjpgoogol/fibonacci-numbers/fibonad]
 ==See also==
 {{FibonacciSJ224}}
 {{BySuperJedi224}}
 [[Category:Class 2]]
-[[Category:Numbers with 101 to 192 digits]]
+[[Category:Numbers with 101 to 999 digits]]
-[[Category:Deficient numbers]]
 [[Category:Odd numbers]]