What is the 1477th prime number?
The 1477th prime number is 12377. The next prime is 12379 (a gap of 2) and the one before is 12373.
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 1477th one is 12377.
- 2
12377 is prime because no prime up to ā12377 ā 111.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1477th prime is close to 1477 Ć ln(1477) ā 10779, and here it is 12377.
- 4
12377 is a twin prime: 12377 and 12379 are both prime.
Primes around the 1477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1474 | 12343 | 14 |
| 1475 | 12347 | 4 |
| 1476 | 12373 | 26 |
| 1477 | 12377 | 4 |
| 1478 | 12379 | 2 |
| 1479 | 12391 | 12 |
| 1480 | 12401 | 10 |
Questions
What is the 1477th prime number?
12377.
Which prime number is 12377?
12377 is the 1477th prime number.
What is the sum of the first 1477 primes?
8,509,780.