What is the 203rd prime number?
The 203rd prime number is 1237. The next prime is 1249 (a gap of 12) and the one before is 1231.
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 203rd one is 1237.
- 2
1237 is prime because no prime up to ā1237 ā 35.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 203rd prime is close to 203 Ć ln(203) ā 1079, and here it is 1237.
- 4
1237 has no twin: neither 1235 nor 1239 is prime.
Primes around the 203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 200 | 1223 | 6 |
| 201 | 1229 | 6 |
| 202 | 1231 | 2 |
| 203 | 1237 | 6 |
| 204 | 1249 | 12 |
| 205 | 1259 | 10 |
| 206 | 1277 | 18 |
Questions
What is the 203rd prime number?
1237.
Which prime number is 1237?
1237 is the 203rd prime number.
What is the sum of the first 203 primes?
115,284.