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2 . 3 2 1 3
2 . 4 2 1 4
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4 R e f e r e n c e s
T o g g l e t h e t a b l e o f c o n t e n t s
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T o o l s
T o o l s
A c t i o n s
● R e a d ● E d i t ● V i e w h i s t o r y
G e n e r a l
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P r i n t / e x p o r t
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● W i k i m e d i a C o m m o n s
A p p e a r a n c e
F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
Cardinal two hundred ten Ordinal 210th Factorization 2 × 3 × 5 × 7 Divisors 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 , 210Greek numeral ΣΙ´ Roman numeral CCX Binary 110100102 Ternary 212103 Senary 5506 Octal 3228 Duodecimal 15612 Hexadecimal D216
210 (two hundred [and] ten ) is the natural number following 209 and preceding 211 .
Mathematics
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210 is an abundant number ,[1] prime numbers (2 3 5 7 primorial ,[2] adjacent to 2 primes (211 is prime, but 209 is not).
It is the sum of eight consecutive prime numbers, between 13 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 [3]
It is a triangular number (following 190 and preceding 231 ), a pentagonal number (following 176 and preceding 247 ), and the second smallest to be both triangular and pentagonal (the third is 40755).[3]
It is also an idoneal number , a pentatope number , a pronic number , and an untouchable number . 210 is also the third 71-gonal number, preceding 418 .[3]
210 is index n {1, ..., 2n so that the sum of each pair is prime ; i.e., in {1, ..., 14} .[4] [5]
It is the largest number n n sum of two primes is at most the number of primes in the interval [n / 2 , n .[6]
Integers between 211 and 219
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211
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212
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213
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214
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215
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216
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217
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218
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219
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See also
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References
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^ a b c Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (p. 143). London: Penguin Group.
^ Sloane, N. J. A. (ed.). "Sequence A000341 (Number of ways to pair up {1..2n} so sum of each pair is prime.)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-02-10 .
^ Greenfield, Lawrence E.; Greenfield, Stephen J. (1998). "Some Problems of Combinatorial Number Theory Related to Bertrand's Postulate" . Journal of Integer Sequences 1 David R. Cheriton School of Computer Science : Article 98.1.2. MR 1677070 . S2CID 230430995 . Zbl 1010.11007 .
^ Deshouillers, Jean-Marc ; Granville, Andrew ; Narkiewicz, Władysław; Pomerance, Carl (1993). "An upper bound in Goldbach's problem" . Mathematics of Computation . 61 Bibcode :1993MaCom..61..209D . doi :10.1090/S0025-5718-1993-1202609-9
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● T h i s p a g e w a s l a s t e d i t e d o n 2 0 J u l y 2 0 2 4 , a t 0 1 : 3 0 ( U T C ) . ● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
