What is the 1502nd prime number?
The 1502nd prime number is 12577. The next prime is 12583 (a gap of 6) and the one before is 12569.
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 1502nd one is 12577.
- 2
12577 is prime because no prime up to ā12577 ā 112.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1502nd prime is close to 1502 Ć ln(1502) ā 10986, and here it is 12577.
- 4
12577 has no twin: neither 12575 nor 12579 is prime.
Primes around the 1502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1499 | 12547 | 6 |
| 1500 | 12553 | 6 |
| 1501 | 12569 | 16 |
| 1502 | 12577 | 8 |
| 1503 | 12583 | 6 |
| 1504 | 12589 | 6 |
| 1505 | 12601 | 12 |
Questions
What is the 1502nd prime number?
12577.
Which prime number is 12577?
12577 is the 1502nd prime number.
What is the sum of the first 1502 primes?
8,821,783.