What is the 2241st prime number?
The 2241st prime number is 19801. The next prime is 19813 (a gap of 12) and the one before is 19793.
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 2241st one is 19801.
- 2
19801 is prime because no prime up to ā19801 ā 140.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2241st prime is close to 2241 Ć ln(2241) ā 17289, and here it is 19801.
- 4
19801 has no twin: neither 19799 nor 19803 is prime.
Primes around the 2241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2238 | 19763 | 4 |
| 2239 | 19777 | 14 |
| 2240 | 19793 | 16 |
| 2241 | 19801 | 8 |
| 2242 | 19813 | 12 |
| 2243 | 19819 | 6 |
| 2244 | 19841 | 22 |
Questions
What is the 2241st prime number?
19801.
Which prime number is 19801?
19801 is the 2241st prime number.
What is the sum of the first 2241 primes?
20,753,012.