What is the 88th prime number?
The 88th prime number is 457. The next prime is 461 (a gap of 4) and the one before is 449.
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 88th one is 457.
- 2
457 is prime because no prime up to ā457 ā 21.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 88th prime is close to 88 Ć ln(88) ā 394, and here it is 457.
- 4
457 has no twin: neither 455 nor 459 is prime.
Primes around the 88th
| Position | Prime | Gap from the previous |
|---|---|---|
| 85 | 439 | 6 |
| 86 | 443 | 4 |
| 87 | 449 | 6 |
| 88 | 457 | 8 |
| 89 | 461 | 4 |
| 90 | 463 | 2 |
| 91 | 467 | 4 |
Questions
What is the 88th prime number?
457.
Which prime number is 457?
457 is the 88th prime number.
What is the sum of the first 88 primes?
18,189.