What is the 1553rd prime number?
The 1553rd prime number is 13037. The next prime is 13043 (a gap of 6) and the one before is 13033.
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 1553rd one is 13037.
- 2
13037 is prime because no prime up to ā13037 ā 114.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1553rd prime is close to 1553 Ć ln(1553) ā 11411, and here it is 13037.
- 4
13037 has no twin: neither 13035 nor 13039 is prime.
Primes around the 1553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1550 | 13007 | 4 |
| 1551 | 13009 | 2 |
| 1552 | 13033 | 24 |
| 1553 | 13037 | 4 |
| 1554 | 13043 | 6 |
| 1555 | 13049 | 6 |
| 1556 | 13063 | 14 |
Questions
What is the 1553rd prime number?
13037.
Which prime number is 13037?
13037 is the 1553rd prime number.
What is the sum of the first 1553 primes?
9,475,282.