What is the 1537th prime number?
The 1537th prime number is 12911. The next prime is 12917 (a gap of 6) and the one before is 12907.
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 1537th one is 12911.
- 2
12911 is prime because no prime up to ā12911 ā 113.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1537th prime is close to 1537 Ć ln(1537) ā 11278, and here it is 12911.
- 4
12911 has no twin: neither 12909 nor 12913 is prime.
Primes around the 1537th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1534 | 12893 | 4 |
| 1535 | 12899 | 6 |
| 1536 | 12907 | 8 |
| 1537 | 12911 | 4 |
| 1538 | 12917 | 6 |
| 1539 | 12919 | 2 |
| 1540 | 12923 | 4 |
Questions
What is the 1537th prime number?
12911.
Which prime number is 12911?
12911 is the 1537th prime number.
What is the sum of the first 1537 primes?
9,267,678.