What is the 1500th prime number?
The 1500th prime number is 12553. The next prime is 12569 (a gap of 16) and the one before is 12547.
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 1500th one is 12553.
- 2
12553 is prime because no prime up to ā12553 ā 112.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1500th prime is close to 1500 Ć ln(1500) ā 10970, and here it is 12553.
- 4
12553 has no twin: neither 12551 nor 12555 is prime.
Primes around the 1500th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1497 | 12539 | 12 |
| 1498 | 12541 | 2 |
| 1499 | 12547 | 6 |
| 1500 | 12553 | 6 |
| 1501 | 12569 | 16 |
| 1502 | 12577 | 8 |
| 1503 | 12583 | 6 |
Questions
What is the 1500th prime number?
12553.
Which prime number is 12553?
12553 is the 1500th prime number.
What is the sum of the first 1500 primes?
8,796,637.