What is the 1540th prime number?
The 1540th prime number is 12923. The next prime is 12941 (a gap of 18) and the one before is 12919.
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 1540th one is 12923.
- 2
12923 is prime because no prime up to ā12923 ā 113.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1540th prime is close to 1540 Ć ln(1540) ā 11303, and here it is 12923.
- 4
12923 has no twin: neither 12921 nor 12925 is prime.
Primes around the 1540th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1537 | 12911 | 4 |
| 1538 | 12917 | 6 |
| 1539 | 12919 | 2 |
| 1540 | 12923 | 4 |
| 1541 | 12941 | 18 |
| 1542 | 12953 | 12 |
| 1543 | 12959 | 6 |
Questions
What is the 1540th prime number?
12923.
Which prime number is 12923?
12923 is the 1540th prime number.
What is the sum of the first 1540 primes?
9,306,437.