What is the 77th prime number?
The 77th prime number is 389. The next prime is 397 (a gap of 8) and the one before is 383.
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 77th one is 389.
- 2
389 is prime because no prime up to ā389 ā 19.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 77th prime is close to 77 Ć ln(77) ā 334, and here it is 389.
- 4
389 has no twin: neither 387 nor 391 is prime.
Primes around the 77th
| Position | Prime | Gap from the previous |
|---|---|---|
| 74 | 373 | 6 |
| 75 | 379 | 6 |
| 76 | 383 | 4 |
| 77 | 389 | 6 |
| 78 | 397 | 8 |
| 79 | 401 | 4 |
| 80 | 409 | 8 |
Questions
What is the 77th prime number?
389.
Which prime number is 389?
389 is the 77th prime number.
What is the sum of the first 77 primes?
13,490.