Template:Prime number classes - Revision history

Indicwiki: 5 revisions imported from :alpha:Template:Prime_number_classes

2023-04-11T17:35:59Z

5 revisions imported from alpha:Template:Prime_number_classes

← Older revision	Revision as of 23:05, 11 April 2023
(No difference)

alpha>Indicwiki at 07:50, 22 February 2023

2023-02-22T07:50:21Z

alpha>Indicwiki at 07:28, 22 February 2023

2023-02-22T07:28:43Z

← Older revision		Revision as of 12:58, 22 February 2023
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	\|group1 =सूत्र द्वारा		\|group1 =सूत्र द्वारा
	\|list1 =* [[Fermat संख्या \| fermat ({{math\|size=90%\|1=2<sup>2<sup>''n''</sup></sup> + 1}}]]		\|list1 =* [[Fermat संख्या \| fermat ({{math\|size=90%\|1=2<sup>2<sup>''n''</sup></sup> + 1}})]]
	* [[Mersenne Prime \| Mersenne ({{math\|size=90%\|1=2<sup>''p''</sup> − 1}}]]		* [[Mersenne Prime \| Mersenne ({{math\|size=90%\|1=2<sup>''p''</sup> − 1}}]]
	* [[डबल मर्सन नंबर \| डबल मर्सन ({{math\|size=90%\|1=2<sup>2<sup>''p''</sup>−1</sup> − 1}}]]		* [[डबल मर्सन नंबर \| डबल मर्सन ({{math\|size=90%\|1=2<sup>2<sup>''p''</sup>−1</sup> − 1}}]]

alpha>Indicwiki at 07:27, 22 February 2023

2023-02-22T07:27:57Z

← Older revision		Revision as of 12:57, 22 February 2023
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	* [[Thabit संख्या \| thabit ({{math\|size=90%\|1=3·2<sup>''n''</sup> − 1}}]]		* [[Thabit संख्या \| thabit ({{math\|size=90%\|1=3·2<sup>''n''</sup> − 1}}]]
	* [[विलियम्स नंबर \| विलियम्स ({{math\|size=90%\|1=(''b''−1)·''b''<sup>''n''</sup> − 1}}]]		* [[विलियम्स नंबर \| विलियम्स ({{math\|size=90%\|1=(''b''−1)·''b''<sup>''n''</sup> − 1}}]]
	* [[मिल्स 'निरंतर \| मिल्स ({{math\|size=90%\|1={{floor\|''A''<sup>3<sup>''n''</sup></sup>}}}}]]		* [[मिल्स निरंतर \| मिल्स ({{math\|size=90%\|1={{floor\|''A''<sup>3<sup>''n''</sup></sup>}}}}]]
	\|group2 =पूर्णांक अनुक्रम द्वारा		\|group2 =पूर्णांक अनुक्रम द्वारा
	\|list2 =* [[Fibonacci Prime \| Fibonacci]]		\|list2 =* [[Fibonacci Prime \| Fibonacci]]
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	*{{tl\|Series (mathematics)}}		*{{tl\|Series (mathematics)}}

	~~[[Category:Mathematics navigational boxes]]~~
	}}		}}

	</noinclude>[[Category: Templates Vigyan Ready]][[Category:Templates ~~Translated in Hindi~~]]		</noinclude>

			[[Category:Collapse templates]]
			[[Category:Mathematics navigational boxes]]
			[[Category:Navigational boxes\| ]]
			[[Category:Navigational boxes without horizontal lists]]
			[[Category:Pages with script errors]]
			[[Category:Sidebars with styles needing conversion]]
			[[Category:Template documentation pages\|Documentation/doc]]
			[[Category:Templates Translated in Hindi]]
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alpha>Indicwiki at 07:20, 22 February 2023

2023-02-22T07:20:11Z

Show changes

alpha>Indicwiki: Created page with "{{Navbox |name = Prime number classes |title = Prime number classes |listclass = hlist |state = {{{state|autocollapse}}} |group1 = By formula |list1 = * Fermat number|..."

2023-02-13T15:23:14Z

Created page with "{{Navbox |name = Prime number classes |title = Prime number classes |listclass = hlist |state = {{{state|autocollapse}}} |group1 = By formula |list1 = * Fermat number|..."

New page

{{Navbox
|name = Prime number classes
|title = [[Prime number]] classes
|listclass = hlist
|state = {{{state|autocollapse}}}

|group1 = By formula
|list1 =
* [[Fermat number|Fermat ({{math|size=90%|1=22''n'' + 1}})]]
* [[Mersenne prime|Mersenne ({{math|size=90%|1=2''p'' − 1}})]]
* [[Double Mersenne number|Double Mersenne ({{math|size=90%|1=22''p''−1 − 1}})]]
* [[Wagstaff prime|Wagstaff {{math|size=90%|1=(2''p'' + 1)/3}}]]
* [[Proth prime|Proth ({{math|size=90%|1=''k''·2''n'' + 1}})]]
* [[Factorial prime|Factorial ({{math|size=90%|1=''n''! ± 1}})]]
* [[Primorial prime|Primorial ({{math|size=90%|1=''pn''# ± 1}})]]
* [[Euclid number|Euclid ({{math|size=90%|1=''pn''# + 1}})]]
* [[Pythagorean prime|Pythagorean ({{math|size=90%|1=4''n'' + 1}})]]
* [[Pierpont prime|Pierpont ({{math|size=90%|1=2''m''·3''n'' + 1}})]]
* [[Quartan prime|Quartan ({{math|size=90%|1=''x''4 + ''y''4}})]]
* [[Solinas prime|Solinas ({{math|size=90%|1=2''m'' ± 2''n'' ± 1}})]]
* [[Cullen number|Cullen ({{math|size=90%|1=''n''·2''n'' + 1}})]]
* [[Woodall number|Woodall ({{math|size=90%|1=''n''·2''n'' − 1}})]]
* [[Cuban prime|Cuban ({{math|size=90%|1=''x''3 − ''y''3)/(''x'' − ''y''}})]]
* [[Leyland number|Leyland ({{math|size=90%|1=''xy'' + ''yx''}})]]
* [[Thabit number|Thabit ({{math|size=90%|1=3·2''n'' − 1}})]]
* [[Williams number|Williams ({{math|size=90%|1=(''b''−1)·''b''''n'' − 1}})]]
* [[Mills' constant|Mills ({{math|size=90%|1={{floor|''A''3''n''}}}})]]

|group2 = By integer sequence
|list2 =
* [[Fibonacci prime|Fibonacci]]
* [[Lucas prime|Lucas]]
* [[Pell prime|Pell]]
* [[Newman–Shanks–Williams prime|Newman–Shanks–Williams]]
* [[Perrin prime|Perrin]]
* [[Partition (number theory)|Partitions]]
* [[Bell number|Bell]]
* [[Motzkin number|Motzkin]]

|group3 = By property
|list3 =
* [[Wieferich prime|Wieferich]] ([[Wieferich pair|pair]])
* [[Wall–Sun–Sun prime|Wall–Sun–Sun]]
* [[Wolstenholme prime|Wolstenholme]]
* [[Wilson prime|Wilson]]
* [[Lucky number|Lucky]]
* [[Fortunate number|Fortunate]]
* [[Ramanujan prime|Ramanujan]]
* [[Pillai prime|Pillai]]
* [[Regular prime|Regular]]
* [[Strong prime|Strong]]
* [[Stern prime|Stern]]
* [[Supersingular prime (algebraic number theory)|Supersingular (elliptic curve)]]
* [[Supersingular prime (moonshine theory)|Supersingular (moonshine theory)]]
* [[Good prime|Good]]
* [[Super-prime|Super]]
* [[Higgs prime|Higgs]]
* [[Highly cototient number|Highly cototient]]
* [[Reciprocals of primes#Unique primes|Unique]]

|group4 = [[Radix|Base]]-dependent
|list4 =
* [[Palindromic prime|Palindromic]]
* [[Emirp]]
* [[Repunit|Repunit {{math|size=90%|1=(10''n'' − 1)/9}}]]
* [[Permutable prime|Permutable]]
* [[Circular prime|Circular]]
* [[Truncatable prime|Truncatable]]
* [[Minimal prime (recreational mathematics)|Minimal]]
* [[Delicate prime|Delicate]]
* [[Primeval number|Primeval]]
* [[Full reptend prime|Full reptend]]
* [[Unique prime number|Unique]]
* [[Happy number#Happy primes|Happy]]
* [[Self number|Self]]
* [[Smarandache–Wellin prime|Smarandache–Wellin]]
* [[Strobogrammatic prime|Strobogrammatic]]
* [[Dihedral prime|Dihedral]]
* [[Tetradic number|Tetradic]]

|group5 = Patterns
|list5 =
* [[Twin prime|Twin ({{math|size=90%|1=''p'', ''p'' + 2}})]]
* [[Bi-twin chain|Bi-twin chain ({{math|size=90%|1=''n'' ± 1, 2''n'' ± 1, 4''n'' ± 1, …}})]]
* [[Prime triplet|Triplet ({{math|size=90%|1=''p'', ''p'' + 2 or ''p'' + 4, ''p'' + 6}})]]
* [[Prime quadruplet|Quadruplet ({{math|size=90%|1=''p'', ''p'' + 2, ''p'' + 6, ''p'' + 8}})]]
* [[Prime k-tuple|''k''-tuple]]
* [[Cousin prime|Cousin ({{math|size=90%|1=''p'', ''p'' + 4}})]]
* [[Sexy prime|Sexy ({{math|size=90%|1=''p'', ''p'' + 6}})]]
* [[Chen prime|Chen]]
* [[Safe and Sophie Germain primes|Sophie Germain/Safe ({{math|size=90%|1=''p'', 2''p'' + 1}})]]
* [[Cunningham chain|Cunningham ({{math|size=90%|1=''p'', 2''p'' ± 1, 4''p'' ± 3, 8''p'' ± 7, ...}})]]
* [[Primes in arithmetic progression|Arithmetic progression ({{math|size=90%|1=''p'' + ''a·n'', ''n'' = 0, 1, 2, 3, ...}})]]
* [[Balanced prime|Balanced ({{math|size=90%|1=consecutive ''p'' − ''n'', ''p'', ''p'' + ''n''}})]]

|group6 = By size
|list6 =
* [[Megaprime|Mega (1,000,000+ digits)]]
* [[Largest known prime number|Largest known]]
** [[List of largest known primes and probable primes|list]]

|group7 = [[Complex number|Complex numbers]]
|list7 =
* [[Eisenstein prime]]
* [[Gaussian integer#Gaussian primes|Gaussian prime]]

|group8 = [[Composite number|Composite numbers]]
|list8 =
* [[Pseudoprime]]
** [[Catalan pseudoprime|Catalan]]
** [[Elliptic pseudoprime|Elliptic]]
** [[Euler pseudoprime|Euler]]
** [[Euler–Jacobi pseudoprime|Euler–Jacobi]]
** [[Fermat pseudoprime|Fermat]]
** [[Frobenius pseudoprime|Frobenius]]
** [[Lucas pseudoprime|Lucas]]
** [[Somer–Lucas pseudoprime|Somer–Lucas]]
** [[Strong pseudoprime|Strong]]
* [[Carmichael number]]
* [[Almost prime]]
* [[Semiprime]]
* [[Interprime]]
* [[Pernicious number|Pernicious]]

|group9 = Related topics
|list9 =
* [[Probable prime]]
* [[Industrial-grade prime]]
* [[Illegal prime]]
* [[Formula for primes]]
* [[Prime gap]]

|group10 = First {{#expr:60+({{CURRENTMONTH}}{{CURRENTDAY2}}=401)}} primes
|list10 =
{{#ifeq:{{CURRENTMONTH}}{{CURRENTDAY2}}|401|* [[1]]}}
* [[2]]
* [[3]]
* [[5]]
* [[7]]
* [[11 (number)|11]]
* [[13 (number)|13]]
* [[17 (number)|17]]
* [[19 (number)|19]]
* [[23 (number)|23]]
* [[29 (number)|29]]
* [[31 (number)|31]]
* [[37 (number)|37]]
* [[41 (number)|41]]
* [[43 (number)|43]]
* [[47 (number)|47]]
* [[53 (number)|53]]
* [[59 (number)|59]]
* [[61 (number)|61]]
* [[67 (number)|67]]
* [[71 (number)|71]]
* [[73 (number)|73]]
* [[79 (number)|79]]
* [[83 (number)|83]]
* [[89 (number)|89]]
* [[97 (number)|97]]
* [[101 (number)|101]]
* [[103 (number)|103]]
* [[107 (number)|107]]
* [[109 (number)|109]]
* [[113 (number)|113]]
* [[127 (number)|127]]
* [[131 (number)|131]]
* [[137 (number)|137]]
* [[139 (number)|139]]
* [[149 (number)|149]]
* [[151 (number)|151]]
* [[157 (number)|157]]
* [[163 (number)|163]]
* [[167 (number)|167]]
* [[173 (number)|173]]
* [[179 (number)|179]]
* [[181 (number)|181]]
* [[191 (number)|191]]
* [[193 (number)|193]]
* [[197 (number)|197]]
* [[199 (number)|199]]
* [[211 (number)|211]]
* [[223 (number)|223]]
* [[227 (number)|227]]
* [[229 (number)|229]]
* [[233 (number)|233]]
* [[239 (number)|239]]
* [[241 (number)|241]]
* [[251 (number)|251]]
* [[257 (number)|257]]
* [[263 (number)|263]]
* [[269 (number)|269]]
* [[271 (number)|271]]
* [[277 (number)|277]]
* [[281 (number)|281]]

| belowclass = hlist
| below =
[[List of prime numbers]]

}}<noinclude>
{{documentation|content=

{{collapsible option}}

==See also==
*{{tl|Classes of natural numbers}}
*{{tl|Series (mathematics)}}

[[Category:Mathematics navigational boxes]]
}}
</noinclude>

← Older revision		Revision as of 13:20, 22 February 2023
Line 9:		Line 9:
	\|group1 =सूत्र द्वारा		\|group1 =सूत्र द्वारा
	\|list1 =* [[Fermat संख्या \| fermat ({{math\|size=90%\|1=2<sup>2<sup>''n''</sup></sup> + 1}})]]		\|list1 =* [[Fermat संख्या \| fermat ({{math\|size=90%\|1=2<sup>2<sup>''n''</sup></sup> + 1}})]]
	* [[Mersenne Prime \| Mersenne ({{math\|size=90%\|1=2<sup>''p''</sup> − 1}}]]		* [[Mersenne Prime \| Mersenne ({{math\|size=90%\|1=2<sup>''p''</sup> − 1}})]]
	* [[डबल मर्सन नंबर \| डबल मर्सन ({{math\|size=90%\|1=2<sup>2<sup>''p''</sup>−1</sup> − 1}}]]		* [[डबल मर्सन नंबर \| डबल मर्सन ({{math\|size=90%\|1=2<sup>2<sup>''p''</sup>−1</sup> − 1}}0]]
	* [[Wagstaff Prime \| Wagstaff{{math\|size=90%\|1=(2<sup>''p''</sup> + 1)/3}}]]		* [[Wagstaff Prime \| Wagstaff{{math\|size=90%\|1=(2<sup>''p''</sup> + 1)/3}}]]
	* [[प्रोथ प्राइम \| प्रोथ ({{math\|size=90%\|1=''k''·2<sup>''n''</sup> + 1}}]]		* [[प्रोथ प्राइम \| प्रोथ ({{math\|size=90%\|1=''k''·2<sup>''n''</sup> + 1}})]]
	* [[फैक्टरियल प्राइम \| फैक्टरियल ({{math\|size=90%\|1=''n''! ± 1}}]]		* [[फैक्टरियल प्राइम \| फैक्टरियल ({{math\|size=90%\|1=''n''! ± 1}})]]
	* [[प्राइमोरियल प्राइम \| प्राइमोरियल ({{math\|size=90%\|1=''p<sub>n</sub>''# ± 1}}]]		* [[प्राइमोरियल प्राइम \| प्राइमोरियल ({{math\|size=90%\|1=''p<sub>n</sub>''# ± 1}})]]
	* [[यूक्लिड नंबर \| Euclid ({{math\|size=90%\|1=''p<sub>n</sub>''# + 1}}]]		* [[यूक्लिड नंबर \| Euclid ({{math\|size=90%\|1=''p<sub>n</sub>''# + 1}})]]
	* [[पाइथागोरियन प्राइम \| पाइथागोरियन ({{math\|size=90%\|1=4''n'' + 1}}]]		* [[पाइथागोरियन प्राइम \| पाइथागोरियन ({{math\|size=90%\|1=4''n'' + 1}})]]
	* [[पियरपॉन्ट प्राइम \| पियरपोंट ({{math\|size=90%\|1=2<sup>''m''</sup>·3<sup>''n''</sup> + 1}}]]		* [[पियरपॉन्ट प्राइम \| पियरपोंट ({{math\|size=90%\|1=2<sup>''m''</sup>·3<sup>''n''</sup> + 1}})]]
	* [[फौयन प्राइम \| क्वार्टन ({{math\|size=90%\|1=''x''<sup>4</sup> + ''y''<sup>4</sup>}}]]		* [[फौयन प्राइम \| क्वार्टन ({{math\|size=90%\|1=''x''<sup>4</sup> + ''y''<sup>4</sup>}})]]
	* [[प्राइम सोलिनास \| सोलिनास ({{math\|size=90%\|1=2<sup>''m''</sup> ± 2<sup>''n''</sup> ± 1}}]]		* [[प्राइम सोलिनास \| सोलिनास ({{math\|size=90%\|1=2<sup>''m''</sup> ± 2<sup>''n''</sup> ± 1}})]]
	* [[कुलेन नंबर \| कुलेन ({{math\|size=90%\|1=''n''·2<sup>''n''</sup> + 1}}]]		* [[कुलेन नंबर \| कुलेन ({{math\|size=90%\|1=''n''·2<sup>''n''</sup> + 1}})]]
	* [[वुडल नंबर \| वुडल ({{math\|size=90%\|1=''n''·2<sup>''n''</sup> − 1}}]]		* [[वुडल नंबर \| वुडल ({{math\|size=90%\|1=''n''·2<sup>''n''</sup> − 1}})]]
	* [[क्यूबन प्राइम \| क्यूबन (क्यूबन (){{math\|size=90%\|1=''x''<sup>3</sup> − ''y''<sup>3</sup>)/(''x'' − ''y''}}]]		* [[क्यूबन प्राइम \| क्यूबन (क्यूबन (){{math\|size=90%\|1=''x''<sup>3</sup> − ''y''<sup>3</sup>)/(''x'' − ''y''}}]]
	* [[Leyland संख्या \| Leyland ({{math\|size=90%\|1=''x<sup>y</sup>'' + ''y<sup>x</sup>''}}]]		* [[Leyland संख्या \| Leyland ({{math\|size=90%\|1=''x<sup>y</sup>'' + ''y<sup>x</sup>''}})]]
	* [[Thabit संख्या \| thabit ({{math\|size=90%\|1=3·2<sup>''n''</sup> − 1}}]]		* [[Thabit संख्या \| thabit ({{math\|size=90%\|1=3·2<sup>''n''</sup> − 1}})]]
	* [[विलियम्स नंबर \| विलियम्स ({{math\|size=90%\|1=(''b''−1)·''b''<sup>''n''</sup> − 1}}]]		* [[विलियम्स नंबर \| विलियम्स ({{math\|size=90%\|1=(''b''−1)·''b''<sup>''n''</sup> − 1}})]]
	* [[मिल्स निरंतर \| मिल्स ({{math\|size=90%\|1={{floor\|''A''<sup>3<sup>''n''</sup></sup>}}}}]]		* [[मिल्स निरंतर \| मिल्स ({{math\|size=90%\|1={{floor\|''A''<sup>3<sup>''n''</sup></sup>}}}})]]
	\|group2 =पूर्णांक अनुक्रम द्वारा		\|group2 =पूर्णांक अनुक्रम द्वारा
	\|list2 =* [[Fibonacci Prime \| Fibonacci]]		\|list2 =* [[Fibonacci Prime \| Fibonacci]]