What is the 1505th prime number?
The 1505th prime number is 12601. The next prime is 12611 (a gap of 10) and the one before is 12589.
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 1505th one is 12601.
- 2
12601 is prime because no prime up to ā12601 ā 112.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1505th prime is close to 1505 Ć ln(1505) ā 11011, and here it is 12601.
- 4
12601 has no twin: neither 12599 nor 12603 is prime.
Primes around the 1505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1502 | 12577 | 8 |
| 1503 | 12583 | 6 |
| 1504 | 12589 | 6 |
| 1505 | 12601 | 12 |
| 1506 | 12611 | 10 |
| 1507 | 12613 | 2 |
| 1508 | 12619 | 6 |
Questions
What is the 1505th prime number?
12601.
Which prime number is 12601?
12601 is the 1505th prime number.
What is the sum of the first 1505 primes?
8,859,556.