What is the 1503rd prime number?
The 1503rd prime number is 12583. The next prime is 12589 (a gap of 6) and the one before is 12577.
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 1503rd one is 12583.
- 2
12583 is prime because no prime up to ā12583 ā 112.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1503rd prime is close to 1503 Ć ln(1503) ā 10995, and here it is 12583.
- 4
12583 has no twin: neither 12581 nor 12585 is prime.
Primes around the 1503rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1500 | 12553 | 6 |
| 1501 | 12569 | 16 |
| 1502 | 12577 | 8 |
| 1503 | 12583 | 6 |
| 1504 | 12589 | 6 |
| 1505 | 12601 | 12 |
| 1506 | 12611 | 10 |
Questions
What is the 1503rd prime number?
12583.
Which prime number is 12583?
12583 is the 1503rd prime number.
What is the sum of the first 1503 primes?
8,834,366.