# How to calculate the minimum recommended hashrate for p2pool network?

I'm trying to add the current minimum required hashrate for miners on my p2pool frontend. I've seen such calculation for the litecoin network here.

For litecoin with quite a high p2pool rate and a low p2pool block spread setting the minimum recommended hashrate always seems to be very high, currently at around 2 MH/s.

Now I'm trying to figure out how this is calculated. I know the variables, currently for litecoin:

``````# Current snapshot:
diff_block  =         5895.581658 # Network difficulty (386M)
diff_share  =            3.919712 # P2pool share difficulty (257k)
hash_netwrk = 165000000000.0      # Network hashrate (165GH/s)
hash_p2pool =   1620000000.0      # P2pool hashrate (1.62GH/s)
block_24hr  =            5.51     # Expected blocks per day
block_sprd  =            3.0      # P2Pool blocks payout spread
``````

For my calculations I assume I want to get static payouts every block, therefore I need to solve at least one share every 3 blocks with a diff of at least 257k.

``````solve_time  =  block_sprd / block_24hr * 24hr
solve_time  =           13.06715  # one target share every 13 hours
``````

Now I know I need to find one share of at least 257k difficulty every 13 hours.

But now I get lost. How do I find out which hashrate do I need to find this share at this rate?

To find one 386M-share every 2.5 minutes I need 165GH/s.

``````# Difficulty; Blocktime; Hashrate
5895.581658; 150; 165000000000
3.919712; 47041.742; ???
``````

But how many H/s do I need to find one 257k-share every 13 hours?

``````# Hashrate to find a block every 13 hours
47041.742 / 150 = 313.612
165000000000 / 313.612 = 526128472
``````

To find one 386M-share every 13 hours I need 526MH/s.

``````# Hashrate to find a share every 13 hours
5895.581658 / 3.919712 = 1504.085
526128472 / 1504.085 = 349799.597
``````

To find one 257k-share every 13 hours I need 350kH/s!? This differs from the link I posted above by factor 5. Where is my issue here? How to do this calculation right?