What is the 1141st prime number?
The 1141st prime number is 9203. The next prime is 9209 (a gap of 6) and the one before is 9199.
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 1141st one is 9203.
- 2
9203 is prime because no prime up to ā9203 ā 95.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1141st prime is close to 1141 Ć ln(1141) ā 8032, and here it is 9203.
- 4
9203 has no twin: neither 9201 nor 9205 is prime.
Primes around the 1141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1138 | 9181 | 8 |
| 1139 | 9187 | 6 |
| 1140 | 9199 | 12 |
| 1141 | 9203 | 4 |
| 1142 | 9209 | 6 |
| 1143 | 9221 | 12 |
| 1144 | 9227 | 6 |
Questions
What is the 1141st prime number?
9203.
Which prime number is 9203?
9203 is the 1141st prime number.
What is the sum of the first 1141 primes?
4,892,222.