What is the 75th prime number?
The 75th prime number is 379. The next prime is 383 (a gap of 4) and the one before is 373.
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 75th one is 379.
- 2
379 is prime because no prime up to ā379 ā 19.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 75th prime is close to 75 Ć ln(75) ā 324, and here it is 379.
- 4
379 has no twin: neither 377 nor 381 is prime.
Primes around the 75th
| Position | Prime | Gap from the previous |
|---|---|---|
| 72 | 359 | 6 |
| 73 | 367 | 8 |
| 74 | 373 | 6 |
| 75 | 379 | 6 |
| 76 | 383 | 4 |
| 77 | 389 | 6 |
| 78 | 397 | 8 |
Questions
What is the 75th prime number?
379.
Which prime number is 379?
379 is the 75th prime number.
What is the sum of the first 75 primes?
12,718.