What is the 1476th prime number?
The 1476th prime number is 12373. The next prime is 12377 (a gap of 4) and the one before is 12347.
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 1476th one is 12373.
- 2
12373 is prime because no prime up to ā12373 ā 111.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1476th prime is close to 1476 Ć ln(1476) ā 10771, and here it is 12373.
- 4
12373 has no twin: neither 12371 nor 12375 is prime.
Primes around the 1476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1473 | 12329 | 6 |
| 1474 | 12343 | 14 |
| 1475 | 12347 | 4 |
| 1476 | 12373 | 26 |
| 1477 | 12377 | 4 |
| 1478 | 12379 | 2 |
| 1479 | 12391 | 12 |
Questions
What is the 1476th prime number?
12373.
Which prime number is 12373?
12373 is the 1476th prime number.
What is the sum of the first 1476 primes?
8,497,403.