What is the 96th prime number?
The 96th prime number is 503. The next prime is 509 (a gap of 6) and the one before is 499.
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 96th one is 503.
- 2
503 is prime because no prime up to ā503 ā 22.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 96th prime is close to 96 Ć ln(96) ā 438, and here it is 503.
- 4
503 has no twin: neither 501 nor 505 is prime.
Primes around the 96th
| Position | Prime | Gap from the previous |
|---|---|---|
| 93 | 487 | 8 |
| 94 | 491 | 4 |
| 95 | 499 | 8 |
| 96 | 503 | 4 |
| 97 | 509 | 6 |
| 98 | 521 | 12 |
| 99 | 523 | 2 |
Questions
What is the 96th prime number?
503.
Which prime number is 503?
503 is the 96th prime number.
What is the sum of the first 96 primes?
22,039.