What is the 4674th prime number?
The 4674th prime number is 44983. The next prime is 44987 (a gap of 4) and the one before is 44971.
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 4674th one is 44983.
- 2
44983 is prime because no prime up to ā44983 ā 212.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4674th prime is close to 4674 Ć ln(4674) ā 39494, and here it is 44983.
- 4
44983 has no twin: neither 44981 nor 44985 is prime.
Primes around the 4674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4671 | 44959 | 6 |
| 4672 | 44963 | 4 |
| 4673 | 44971 | 8 |
| 4674 | 44983 | 12 |
| 4675 | 44987 | 4 |
| 4676 | 45007 | 20 |
| 4677 | 45013 | 6 |
Questions
What is the 4674th prime number?
44983.
Which prime number is 44983?
44983 is the 4674th prime number.
What is the sum of the first 4674 primes?
99,188,413.