What is the 76th prime number?
The 76th prime number is 383. The next prime is 389 (a gap of 6) and the one before is 379.
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 76th one is 383.
- 2
383 is prime because no prime up to ā383 ā 19.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 76th prime is close to 76 Ć ln(76) ā 329, and here it is 383.
- 4
383 has no twin: neither 381 nor 385 is prime.
Primes around the 76th
| Position | Prime | Gap from the previous |
|---|---|---|
| 73 | 367 | 8 |
| 74 | 373 | 6 |
| 75 | 379 | 6 |
| 76 | 383 | 4 |
| 77 | 389 | 6 |
| 78 | 397 | 8 |
| 79 | 401 | 4 |
Questions
What is the 76th prime number?
383.
Which prime number is 383?
383 is the 76th prime number.
What is the sum of the first 76 primes?
13,101.