What is the 4781st prime number?
The 4781st prime number is 46219. The next prime is 46229 (a gap of 10) and the one before is 46199.
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 4781st one is 46219.
- 2
46219 is prime because no prime up to ā46219 ā 214.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4781st prime is close to 4781 Ć ln(4781) ā 40507, and here it is 46219.
- 4
46219 has no twin: neither 46217 nor 46221 is prime.
Primes around the 4781st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4778 | 46183 | 2 |
| 4779 | 46187 | 4 |
| 4780 | 46199 | 12 |
| 4781 | 46219 | 20 |
| 4782 | 46229 | 10 |
| 4783 | 46237 | 8 |
| 4784 | 46261 | 24 |
Questions
What is the 4781st prime number?
46219.
Which prime number is 46219?
46219 is the 4781st prime number.
What is the sum of the first 4781 primes?
104,069,462.