What is the 2236th prime number?
The 2236th prime number is 19753. The next prime is 19759 (a gap of 6) and the one before is 19751.
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 2236th one is 19753.
- 2
19753 is prime because no prime up to ā19753 ā 140.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2236th prime is close to 2236 Ć ln(2236) ā 17245, and here it is 19753.
- 4
19753 is a twin prime: 19751 and 19753 are both prime.
Primes around the 2236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2233 | 19727 | 10 |
| 2234 | 19739 | 12 |
| 2235 | 19751 | 12 |
| 2236 | 19753 | 2 |
| 2237 | 19759 | 6 |
| 2238 | 19763 | 4 |
| 2239 | 19777 | 14 |
Questions
What is the 2236th prime number?
19753.
Which prime number is 19753?
19753 is the 2236th prime number.
What is the sum of the first 2236 primes?
20,654,119.