What is the 3103rd prime number?
The 3103rd prime number is 28537. The next prime is 28541 (a gap of 4) and the one before is 28517.
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 3103rd one is 28537.
- 2
28537 is prime because no prime up to ā28537 ā 168.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3103rd prime is close to 3103 Ć ln(3103) ā 24949, and here it is 28537.
- 4
28537 has no twin: neither 28535 nor 28539 is prime.
Primes around the 3103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3100 | 28499 | 6 |
| 3101 | 28513 | 14 |
| 3102 | 28517 | 4 |
| 3103 | 28537 | 20 |
| 3104 | 28541 | 4 |
| 3105 | 28547 | 6 |
| 3106 | 28549 | 2 |
Questions
What is the 3103rd prime number?
28537.
Which prime number is 28537?
28537 is the 3103rd prime number.
What is the sum of the first 3103 primes?
41,527,794.