What is the 1501st prime number?
The 1501st prime number is 12569. The next prime is 12577 (a gap of 8) and the one before is 12553.
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 1501st one is 12569.
- 2
12569 is prime because no prime up to ā12569 ā 112.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1501st prime is close to 1501 Ć ln(1501) ā 10978, and here it is 12569.
- 4
12569 has no twin: neither 12567 nor 12571 is prime.
Primes around the 1501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1498 | 12541 | 2 |
| 1499 | 12547 | 6 |
| 1500 | 12553 | 6 |
| 1501 | 12569 | 16 |
| 1502 | 12577 | 8 |
| 1503 | 12583 | 6 |
| 1504 | 12589 | 6 |
Questions
What is the 1501st prime number?
12569.
Which prime number is 12569?
12569 is the 1501st prime number.
What is the sum of the first 1501 primes?
8,809,206.