What is the 4783rd prime number?
The 4783rd prime number is 46237. The next prime is 46261 (a gap of 24) and the one before is 46229.
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 4783rd one is 46237.
- 2
46237 is prime because no prime up to ā46237 ā 215.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4783rd prime is close to 4783 Ć ln(4783) ā 40526, and here it is 46237.
- 4
46237 has no twin: neither 46235 nor 46239 is prime.
Primes around the 4783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4780 | 46199 | 12 |
| 4781 | 46219 | 20 |
| 4782 | 46229 | 10 |
| 4783 | 46237 | 8 |
| 4784 | 46261 | 24 |
| 4785 | 46271 | 10 |
| 4786 | 46273 | 2 |
Questions
What is the 4783rd prime number?
46237.
Which prime number is 46237?
46237 is the 4783rd prime number.
What is the sum of the first 4783 primes?
104,161,928.