What is the 95th prime number?
The 95th prime number is 499. The next prime is 503 (a gap of 4) and the one before is 491.
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 95th one is 499.
- 2
499 is prime because no prime up to ā499 ā 22.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 95th prime is close to 95 Ć ln(95) ā 433, and here it is 499.
- 4
499 has no twin: neither 497 nor 501 is prime.
Primes around the 95th
| Position | Prime | Gap from the previous |
|---|---|---|
| 92 | 479 | 12 |
| 93 | 487 | 8 |
| 94 | 491 | 4 |
| 95 | 499 | 8 |
| 96 | 503 | 4 |
| 97 | 509 | 6 |
| 98 | 521 | 12 |
Questions
What is the 95th prime number?
499.
Which prime number is 499?
499 is the 95th prime number.
What is the sum of the first 95 primes?
21,536.