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95 primes

Prime numbers 1 to 500

There are 95 prime numbers between 1 and 500. The first twelve are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, …. A prime is a positive integer greater than 1 with no divisors other than 1 and itself.

Complete list

2 · 3 · 5 · 7 · 11 · 13 · 17 · 19 · 23 · 29 · 31 · 37 · 41 · 43 · 47 · 53 · 59 · 61 · 67 · 71 · 73 · 79 · 83 · 89 · 97 · 101 · 103 · 107 · 109 · 113 · 127 · 131 · 137 · 139 · 149 · 151 · 157 · 163 · 167 · 173 · 179 · 181 · 191 · 193 · 197 · 199 · 211 · 223 · 227 · 229 · 233 · 239 · 241 · 251 · 257 · 263 · 269 · 271 · 277 · 281 · 283 · 293 · 307 · 311 · 313 · 317 · 331 · 337 · 347 · 349 · 353 · 359 · 367 · 373 · 379 · 383 · 389 · 397 · 401 · 409 · 419 · 421 · 431 · 433 · 439 · 443 · 449 · 457 · 461 · 463 · 467 · 479 · 487 · 491 · 499

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Frequently asked

How many prime numbers are there from 1 to 500?

There are 95 prime numbers between 1 and 500. The prime counting function π(500) = 95.

What is the largest prime up to 500?

The largest prime ≤ 500 is 499.

What is the smallest prime?

The smallest prime is 2. It's also the only even prime — every other even number is divisible by 2.

How do I test if a number is prime?

A number n is prime if it has no divisors other than 1 and itself. For small n, test divisibility by every prime up to √n. Numbers like 2, 3, 5, 7, 11, 13 are the standard test set for trial division up to 169.

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