What is the 87th prime number?
The 87th prime number is 449. The next prime is 457 (a gap of 8) and the one before is 443.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 87th one is 449.
- 2
449 is prime because no prime up to ā449 ā 21.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 87th prime is close to 87 Ć ln(87) ā 389, and here it is 449.
- 4
449 has no twin: neither 447 nor 451 is prime.
Primes around the 87th
| Position | Prime | Gap from the previous |
|---|---|---|
| 84 | 433 | 2 |
| 85 | 439 | 6 |
| 86 | 443 | 4 |
| 87 | 449 | 6 |
| 88 | 457 | 8 |
| 89 | 461 | 4 |
| 90 | 463 | 2 |
Questions
What is the 87th prime number?
449.
Which prime number is 449?
449 is the 87th prime number.
What is the sum of the first 87 primes?
17,732.