What is the 1535th prime number?
The 1535th prime number is 12899. The next prime is 12907 (a gap of 8) and the one before is 12893.
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 1535th one is 12899.
- 2
12899 is prime because no prime up to ā12899 ā 113.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1535th prime is close to 1535 Ć ln(1535) ā 11261, and here it is 12899.
- 4
12899 has no twin: neither 12897 nor 12901 is prime.
Primes around the 1535th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1532 | 12853 | 12 |
| 1533 | 12889 | 36 |
| 1534 | 12893 | 4 |
| 1535 | 12899 | 6 |
| 1536 | 12907 | 8 |
| 1537 | 12911 | 4 |
| 1538 | 12917 | 6 |
Questions
What is the 1535th prime number?
12899.
Which prime number is 12899?
12899 is the 1535th prime number.
What is the sum of the first 1535 primes?
9,241,860.