Collision on deterministic RSA keys with different seed

[fai516]

I ran an experiment on forge.pki.rsa.generateKeyPair method with input 4096 bits and different seed A a996dc4726424c0e368c898da1a77dba58596340ae3dd222f39ec4625eb1a960 and B a9a6b63507dc2dedfac4afa8a2074c1d58fa97cc04901e9844ab937212567fa5

code example: https://replit.com/@YikFaiFai1/node-forge#index.js

it turns out that both p and q are identical

seed:  a996dc4726424c0e368c898da1a77dba58596340ae3dd222f39ec4625eb1a960
p:  BigInteger {
  data: [
    204819291, 125184622,  55213757,  41384530,  56329195,
    161802729, 237398828, 171976160, 242659852,  54680845,
      6379184, 128013249, 244497257,  18176204, 189753025,
     39047408, 239706085,  26783302,   7346839, 119806554,
    118802474,   3786056,  13456447, 173445427, 256995741,
    189070187,  63112685, 260143701, 191598716, 109140013,
     68189659,  30773098,  63978869,  89149752,   4307920,
    215590892,   3869222, 139890016,  64084517, 229392706,
    202435813, 129101180, 179767410, 244014137, 198460685,
    105485896,  72299551, 120998475,  78936425, 266471636,
    185225152, 189097146,   7723396,  34539926, 251950413,
     30479482,  34301206, 265663729, 118857769,  12785570,
     74972162, 160664107, 155496914, 179985101, 156964582,
     46179109, 122606868,  88861884, 244933372,  60989407,
    150613943, 241236829, 185515160,        12
  ],
  t: 74,
  s: 0
}
q:  BigInteger {
  data: [
     98203301, 223733815, 203915137,  61827841, 176325158,
     28126898, 197236893, 233459691, 175166922, 156510475,
    140175118,  93607278, 234033971, 126698219, 157373278,
    129017026,  38115043, 178090938, 101375046, 212813183,
       369530, 183636960,  35126850, 142381720, 212960678,
     44356007, 158170724, 142351731, 260278308, 142470691,
     11810266, 242194962, 220367199, 168665702,  35142346,
     54064991, 117567358,  85865792, 157955173, 256993948,
     36815051,  73689655, 210038972, 170809576,  63705308,
    118221656, 226960009, 179562201, 147022284,  58766204,
     81157877, 242987159,  10712508, 103036748, 131179580,
     50294077, 260192241, 210989067, 236361951, 179717270,
     53010107,  63385755, 251585604, 146299078, 260665602,
    180459045, 105975825,  67422926, 203219157, 108850612,
    124485495, 158915311, 170068408,        10
  ],
  t: 74,
  s: 0
}
-----
seed:  a9a6b63507dc2dedfac4afa8a2074c1d58fa97cc04901e9844ab937212567fa5
p:  BigInteger {
  data: [
    204819291, 125184622,  55213757,  41384530,  56329195,
    161802729, 237398828, 171976160, 242659852,  54680845,
      6379184, 128013249, 244497257,  18176204, 189753025,
     39047408, 239706085,  26783302,   7346839, 119806554,
    118802474,   3786056,  13456447, 173445427, 256995741,
    189070187,  63112685, 260143701, 191598716, 109140013,
     68189659,  30773098,  63978869,  89149752,   4307920,
    215590892,   3869222, 139890016,  64084517, 229392706,
    202435813, 129101180, 179767410, 244014137, 198460685,
    105485896,  72299551, 120998475,  78936425, 266471636,
    185225152, 189097146,   7723396,  34539926, 251950413,
     30479482,  34301206, 265663729, 118857769,  12785570,
     74972162, 160664107, 155496914, 179985101, 156964582,
     46179109, 122606868,  88861884, 244933372,  60989407,
    150613943, 241236829, 185515160,        12
  ],
  t: 74,
  s: 0
}
q:  BigInteger {
  data: [
     98203301, 223733815, 203915137,  61827841, 176325158,
     28126898, 197236893, 233459691, 175166922, 156510475,
    140175118,  93607278, 234033971, 126698219, 157373278,
    129017026,  38115043, 178090938, 101375046, 212813183,
       369530, 183636960,  35126850, 142381720, 212960678,
     44356007, 158170724, 142351731, 260278308, 142470691,
     11810266, 242194962, 220367199, 168665702,  35142346,
     54064991, 117567358,  85865792, 157955173, 256993948,
     36815051,  73689655, 210038972, 170809576,  63705308,
    118221656, 226960009, 179562201, 147022284,  58766204,
     81157877, 242987159,  10712508, 103036748, 131179580,
     50294077, 260192241, 210989067, 236361951, 179717270,
     53010107,  63385755, 251585604, 146299078, 260665602,
    180459045, 105975825,  67422926, 203219157, 108850612,
    124485495, 158915311, 170068408,        10
  ],
  t: 74,
  s: 0
}

Whether the Forge implemented PRNG with user provided seed can be used for generating deterministic but unique RSA keys? It seems the default prng is not uniform enough.