What is the 4263rd prime number?
The 4263rd prime number is 40699. The next prime is 40709 (a gap of 10) and the one before is 40697.
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 4263rd one is 40699.
- 2
40699 is prime because no prime up to ā40699 ā 201.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4263rd prime is close to 4263 Ć ln(4263) ā 35629, and here it is 40699.
- 4
40699 is a twin prime: 40697 and 40699 are both prime.
Primes around the 4263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4260 | 40639 | 2 |
| 4261 | 40693 | 54 |
| 4262 | 40697 | 4 |
| 4263 | 40699 | 2 |
| 4264 | 40709 | 10 |
| 4265 | 40739 | 30 |
| 4266 | 40751 | 12 |
Questions
What is the 4263rd prime number?
40699.
Which prime number is 40699?
40699 is the 4263rd prime number.
What is the sum of the first 4263 primes?
81,591,386.