What is the 4273rd prime number?
The 4273rd prime number is 40819. The next prime is 40823 (a gap of 4) and the one before is 40813.
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 4273rd one is 40819.
- 2
40819 is prime because no prime up to ā40819 ā 202.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4273rd prime is close to 4273 Ć ln(4273) ā 35723, and here it is 40819.
- 4
40819 has no twin: neither 40817 nor 40821 is prime.
Primes around the 4273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4270 | 40787 | 16 |
| 4271 | 40801 | 14 |
| 4272 | 40813 | 12 |
| 4273 | 40819 | 6 |
| 4274 | 40823 | 4 |
| 4275 | 40829 | 6 |
| 4276 | 40841 | 12 |
Questions
What is the 4273rd prime number?
40819.
Which prime number is 40819?
40819 is the 4273rd prime number.
What is the sum of the first 4273 primes?
81,999,098.