What is the 1504th prime number?
The 1504th prime number is 12589. The next prime is 12601 (a gap of 12) and the one before is 12583.
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 1504th one is 12589.
- 2
12589 is prime because no prime up to ā12589 ā 112.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1504th prime is close to 1504 Ć ln(1504) ā 11003, and here it is 12589.
- 4
12589 has no twin: neither 12587 nor 12591 is prime.
Primes around the 1504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1501 | 12569 | 16 |
| 1502 | 12577 | 8 |
| 1503 | 12583 | 6 |
| 1504 | 12589 | 6 |
| 1505 | 12601 | 12 |
| 1506 | 12611 | 10 |
| 1507 | 12613 | 2 |
Questions
What is the 1504th prime number?
12589.
Which prime number is 12589?
12589 is the 1504th prime number.
What is the sum of the first 1504 primes?
8,846,955.