What is the 4671st prime number?
The 4671st prime number is 44959. The next prime is 44963 (a gap of 4) and the one before is 44953.
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 4671st one is 44959.
- 2
44959 is prime because no prime up to ā44959 ā 212.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4671st prime is close to 4671 Ć ln(4671) ā 39466, and here it is 44959.
- 4
44959 has no twin: neither 44957 nor 44961 is prime.
Primes around the 4671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4668 | 44927 | 10 |
| 4669 | 44939 | 12 |
| 4670 | 44953 | 14 |
| 4671 | 44959 | 6 |
| 4672 | 44963 | 4 |
| 4673 | 44971 | 8 |
| 4674 | 44983 | 12 |
Questions
What is the 4671st prime number?
44959.
Which prime number is 44959?
44959 is the 4671st prime number.
What is the sum of the first 4671 primes?
99,053,496.