What is the 1534th prime number?
The 1534th prime number is 12893. The next prime is 12899 (a gap of 6) and the one before is 12889.
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 1534th one is 12893.
- 2
12893 is prime because no prime up to ā12893 ā 113.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1534th prime is close to 1534 Ć ln(1534) ā 11253, and here it is 12893.
- 4
12893 has no twin: neither 12891 nor 12895 is prime.
Primes around the 1534th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1531 | 12841 | 12 |
| 1532 | 12853 | 12 |
| 1533 | 12889 | 36 |
| 1534 | 12893 | 4 |
| 1535 | 12899 | 6 |
| 1536 | 12907 | 8 |
| 1537 | 12911 | 4 |
Questions
What is the 1534th prime number?
12893.
Which prime number is 12893?
12893 is the 1534th prime number.
What is the sum of the first 1534 primes?
9,228,961.