What is the 4673rd prime number?
The 4673rd prime number is 44971. The next prime is 44983 (a gap of 12) and the one before is 44963.
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 4673rd one is 44971.
- 2
44971 is prime because no prime up to ā44971 ā 212.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4673rd prime is close to 4673 Ć ln(4673) ā 39485, and here it is 44971.
- 4
44971 has no twin: neither 44969 nor 44973 is prime.
Primes around the 4673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4670 | 44953 | 14 |
| 4671 | 44959 | 6 |
| 4672 | 44963 | 4 |
| 4673 | 44971 | 8 |
| 4674 | 44983 | 12 |
| 4675 | 44987 | 4 |
| 4676 | 45007 | 20 |
Questions
What is the 4673rd prime number?
44971.
Which prime number is 44971?
44971 is the 4673rd prime number.
What is the sum of the first 4673 primes?
99,143,430.