What is the 1293rd prime number?
The 1293rd prime number is 10601. The next prime is 10607 (a gap of 6) and the one before is 10597.
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 1293rd one is 10601.
- 2
10601 is prime because no prime up to ā10601 ā 102.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1293rd prime is close to 1293 Ć ln(1293) ā 9264, and here it is 10601.
- 4
10601 has no twin: neither 10599 nor 10603 is prime.
Primes around the 1293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1290 | 10567 | 8 |
| 1291 | 10589 | 22 |
| 1292 | 10597 | 8 |
| 1293 | 10601 | 4 |
| 1294 | 10607 | 6 |
| 1295 | 10613 | 6 |
| 1296 | 10627 | 14 |
Questions
What is the 1293rd prime number?
10601.
Which prime number is 10601?
10601 is the 1293rd prime number.
What is the sum of the first 1293 primes?
6,395,072.