# Name the next prime number

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Fenn
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31 May 2022, 3:49 pm

^ Arthur! King of the Britons!

Maybe the next number should be named Guinevere!

269

( Or perhaps "Vinyl Yoda" )

(( prime number test ))

(( wikipedia - Primality test ))

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Fenn
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02 Aug 2022, 6:22 am

271

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Fenn
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11 Aug 2022, 3:05 pm

277

277 is the next prime after 271.

Reason:
272 is not prime because it is a multiple of 2 (all even numbers are multiples of two, even numbers always end in 0,2,4,6 or 8 )
273 is not prime because it is a multiple of 3 (2+7+3 = 12, 1+2 = 3 so 273 is a multiple of 3, 3 times 91)
274 is not prime (multiple of 2, even)
275 is not prime (multiple of 5, multiples of 5 end in 0 or 5)
276 is not prime (multiple of 2)
277 is prime (277 is not a multiple of 2, not even, not a multiple of 3, 2+7+7 = 16, 1+6 = 7, 7 is not a multiple of 3 so 277 is not a multiple of 3, not a multiple of 5, ends in a 7, not a multiple of 7, 21 times 7 is 147, 147 from 277 is 30, less 21 is 9, less 7 is 2. 2 is not a multiple of 7 so 277 is not a multiple of 7. 277 is not a multiple of 11 because 277 less 77 is 200, less 110 is 90, less 88 is 2. 2 is not a multiple of 11 so 277 is not a multiple of 11. 277 is not a multiple of 13 because 277 less 130 is 147 less another 130 is 17, less 13 is 4. 4 is not a multiple of 13 so 277 is not a multiple of 13. 277 is not a multiple of 17 because 277 less 170 is 107, less 17 is 90, less 85 (5 times 17 and half of 170) is 5. 5 is not a multiple of 17 so 277 is not a multiple. 17 times 17 is 170 plus 70 plus 49, which is 170 plus 119, which is 289, which is more than 277, so we are done. 277 is prime)

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Last edited by Fenn on 11 Aug 2022, 4:54 pm, edited 1 time in total.

Fnord
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11 Aug 2022, 3:10 pm

281

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DeepHour
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11 Aug 2022, 4:11 pm

Liz Truss

283

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