What is the 1488th prime number?
The 1488th prime number is 12473. The next prime is 12479 (a gap of 6) and the one before is 12457.
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 1488th one is 12473.
- 2
12473 is prime because no prime up to ā12473 ā 111.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1488th prime is close to 1488 Ć ln(1488) ā 10870, and here it is 12473.
- 4
12473 has no twin: neither 12471 nor 12475 is prime.
Primes around the 1488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1485 | 12437 | 4 |
| 1486 | 12451 | 14 |
| 1487 | 12457 | 6 |
| 1488 | 12473 | 16 |
| 1489 | 12479 | 6 |
| 1490 | 12487 | 8 |
| 1491 | 12491 | 4 |
Questions
What is the 1488th prime number?
12473.
Which prime number is 12473?
12473 is the 1488th prime number.
What is the sum of the first 1488 primes?
8,646,445.