What is the 4670th prime number?
The 4670th prime number is 44953. The next prime is 44959 (a gap of 6) and the one before is 44939.
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 4670th one is 44953.
- 2
44953 is prime because no prime up to ā44953 ā 212.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4670th prime is close to 4670 Ć ln(4670) ā 39456, and here it is 44953.
- 4
44953 has no twin: neither 44951 nor 44955 is prime.
Primes around the 4670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4667 | 44917 | 8 |
| 4668 | 44927 | 10 |
| 4669 | 44939 | 12 |
| 4670 | 44953 | 14 |
| 4671 | 44959 | 6 |
| 4672 | 44963 | 4 |
| 4673 | 44971 | 8 |
Questions
What is the 4670th prime number?
44953.
Which prime number is 44953?
44953 is the 4670th prime number.
What is the sum of the first 4670 primes?
99,008,537.