What is the 1531st prime number?
The 1531st prime number is 12841. The next prime is 12853 (a gap of 12) and the one before is 12829.
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 1531st one is 12841.
- 2
12841 is prime because no prime up to ā12841 ā 113.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1531st prime is close to 1531 Ć ln(1531) ā 11228, and here it is 12841.
- 4
12841 has no twin: neither 12839 nor 12843 is prime.
Primes around the 1531st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1528 | 12821 | 12 |
| 1529 | 12823 | 2 |
| 1530 | 12829 | 6 |
| 1531 | 12841 | 12 |
| 1532 | 12853 | 12 |
| 1533 | 12889 | 36 |
| 1534 | 12893 | 4 |
Questions
What is the 1531st prime number?
12841.
Which prime number is 12841?
12841 is the 1531st prime number.
What is the sum of the first 1531 primes?
9,190,326.