What is the 1241st prime number?
The 1241st prime number is 10103. The next prime is 10111 (a gap of 8) and the one before is 10099.
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 1241st one is 10103.
- 2
10103 is prime because no prime up to ā10103 ā 100.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1241st prime is close to 1241 Ć ln(1241) ā 8840, and here it is 10103.
- 4
10103 has no twin: neither 10101 nor 10105 is prime.
Primes around the 1241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1238 | 10091 | 12 |
| 1239 | 10093 | 2 |
| 1240 | 10099 | 6 |
| 1241 | 10103 | 4 |
| 1242 | 10111 | 8 |
| 1243 | 10133 | 22 |
| 1244 | 10139 | 6 |
Questions
What is the 1241st prime number?
10103.
Which prime number is 10103?
10103 is the 1241st prime number.
What is the sum of the first 1241 primes?
5,857,150.