What is the 1536th prime number?
The 1536th prime number is 12907. The next prime is 12911 (a gap of 4) and the one before is 12899.
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 1536th one is 12907.
- 2
12907 is prime because no prime up to ā12907 ā 113.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1536th prime is close to 1536 Ć ln(1536) ā 11270, and here it is 12907.
- 4
12907 has no twin: neither 12905 nor 12909 is prime.
Primes around the 1536th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1533 | 12889 | 36 |
| 1534 | 12893 | 4 |
| 1535 | 12899 | 6 |
| 1536 | 12907 | 8 |
| 1537 | 12911 | 4 |
| 1538 | 12917 | 6 |
| 1539 | 12919 | 2 |
Questions
What is the 1536th prime number?
12907.
Which prime number is 12907?
12907 is the 1536th prime number.
What is the sum of the first 1536 primes?
9,254,767.